115579743851520 has 3520 divisors, whose sum is σ = 479171766915072. Its totient is φ = 26435911680000.

The previous prime is 115579743851483. The next prime is 115579743851567. The reversal of 115579743851520 is 25158347975511.

115579743851520 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 7 + 9 + 74 + 38 + 5 + 1 + 520 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 692094274477 + ... + 692094274643.

Almost surely, 2^{115579743851520} is an apocalyptic number.

115579743851520 is a gapful number since it is divisible by the number (10) 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 115579743851520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239585883457536).

115579743851520 is an abundant number, since it is smaller than the sum of its proper divisors (363592023063552).

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

115579743851520 is a wasteful number, since it uses less digits than its factorization.

115579743851520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 52920000, while the sum is 63.

The spelling of 115579743851520 in words is "one hundred fifteen trillion, five hundred seventy-nine billion, seven hundred forty-three million, eight hundred fifty-one thousand, five hundred twenty".