58119961536 has 896 divisors, whose sum is σ = 226446080000. Its totient is φ = 14485008384.

The previous prime is 58119961507. The next prime is 58119961541. The reversal of 58119961536 is 63516991185.

58119961536 is a `hidden beast` number, since 5 + 8 + 1 + 19 + 9 + 615 + 3 + 6 = 666.

It is a super-2 number, since 2×58119961536² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 146397690 + ... + 146398086.

It is an arithmetic number, because the mean of its divisors is an integer number (252730000).

Almost surely, 2^58119961536 is an apocalyptic number.

58119961536 is a gapful number since it is divisible by the number (56) 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 58119961536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113223040000).

58119961536 is an abundant number, since it is smaller than the sum of its proper divisors (168326118464).

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

58119961536 is a wasteful number, since it uses less digits than its factorization.

58119961536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 441 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 54.

The spelling of 58119961536 in words is "fifty-eight billion, one hundred nineteen million, nine hundred sixty-one thousand, five hundred thirty-six".