115988553262080 has 880 divisors, whose sum is σ = 451981904693616. Its totient is φ = 28324009082880.

The previous prime is 115988553262067. The next prime is 115988553262093. The reversal of 115988553262080 is 80262355889511.

115988553262080 is a `hidden beast` number, since 1 + 1 + 5 + 98 + 8 + 5 + 532 + 6 + 2 + 0 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115988553262067) and next prime (115988553262093).

It can be written as a sum of positive squares in 8 ways, for example, as 3760124322816 + 112228428939264 = 1939104^2 + 10593792^2 .

It is a junction number, because it is equal to n+sod(n) for n = 115988553261999 and 115988553262017.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 260636560 + ... + 261081200.

Almost surely, 2^{115988553262080} is an apocalyptic number.

115988553262080 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 115988553262080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225990952346808).

115988553262080 is an abundant number, since it is smaller than the sum of its proper divisors (335993351431536).

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

115988553262080 is a wasteful number, since it uses less digits than its factorization.

115988553262080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444732 (or 444705 counting only the distinct ones).

The product of its (nonzero) digits is 41472000, while the sum is 63.

The spelling of 115988553262080 in words is "one hundred fifteen trillion, nine hundred eighty-eight billion, five hundred fifty-three million, two hundred sixty-two thousand, eighty".