115563278476800 has 5760 divisors, whose sum is σ = 574480030924800. Its totient is φ = 21449539584000.

The previous prime is 115563278476771. The next prime is 115563278476813. The reversal of 115563278476800 is 8674872365511.

It is a happy number.

115563278476800 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 63 + 27 + 8 + 476 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

It is a super-2 number, since 2×115563278476800² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 275807346991 + ... + 275807347409.

It is an arithmetic number, because the mean of its divisors is an integer number (99736116480).

Almost surely, 2^{115563278476800} is an apocalyptic number.

115563278476800 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 115563278476800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287240015462400).

115563278476800 is an abundant number, since it is smaller than the sum of its proper divisors (458916752448000).

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

115563278476800 is a wasteful number, since it uses less digits than its factorization.

115563278476800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 554 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 115563278476800 in words is "one hundred fifteen trillion, five hundred sixty-three billion, two hundred seventy-eight million, four hundred seventy-six thousand, eight hundred".