119893681605672 has 640 divisors, whose sum is σ = 412456590120960. Its totient is φ = 32139419811840.

The previous prime is 119893681605601. The next prime is 119893681605679. The reversal of 119893681605672 is 276506186398911.

119893681605672 is a `hidden beast` number, since 1 + 1 + 9 + 8 + 9 + 3 + 6 + 8 + 1 + 605 + 6 + 7 + 2 = 666.

It is a super-3 number, since 3×119893681605672³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 119893681605672.

It is not an unprimeable number, because it can be changed into a prime (119893681605679) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 101520208 + ... + 102694400.

It is an arithmetic number, because the mean of its divisors is an integer number (644463422064).

Almost surely, 2^{119893681605672} is an apocalyptic number.

119893681605672 is a gapful number since it is divisible by the number (12) 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 119893681605672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206228295060480).

119893681605672 is an abundant number, since it is smaller than the sum of its proper divisors (292562908515288).

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

119893681605672 is a wasteful number, since it uses less digits than its factorization.

119893681605672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1174295 (or 1174282 counting only the distinct ones).

The product of its (nonzero) digits is 235146240, while the sum is 72.

The spelling of 119893681605672 in words is "one hundred nineteen trillion, eight hundred ninety-three billion, six hundred eighty-one million, six hundred five thousand, six hundred seventy-two".