119958790675584 has 384 divisors, whose sum is σ = 386838499334400. Its totient is φ = 32799213060096.

The previous prime is 119958790675571. The next prime is 119958790675597. The reversal of 119958790675584 is 485576097859911.

It is an interprime number because it is at equal distance from previous prime (119958790675571) and next prime (119958790675597).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×119958790675584² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a junction number, because it is equal to n+sod(n) for n = 119958790675497 and 119958790675506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60687289 + ... + 62632775.

It is an arithmetic number, because the mean of its divisors is an integer number (1007391925350).

Almost surely, 2^{119958790675584} is an apocalyptic number.

119958790675584 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 119958790675584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193419249667200).

119958790675584 is an abundant number, since it is smaller than the sum of its proper divisors (266879708658816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

119958790675584 is a wasteful number, since it uses less digits than its factorization.

119958790675584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1945660 (or 1945641 counting only the distinct ones).

The product of its (nonzero) digits is 6858432000, while the sum is 84.

The spelling of 119958790675584 in words is "one hundred nineteen trillion, nine hundred fifty-eight billion, seven hundred ninety million, six hundred seventy-five thousand, five hundred eighty-four".