115476052694400 has 1152 divisors, whose sum is σ = 420691326531840. Its totient is φ = 30156152832000.

The previous prime is 115476052694333. The next prime is 115476052694441. The reversal of 115476052694400 is 4496250674511.

115476052694400 is a `hidden beast` number, since 1 + 1 + 5 + 4 + 7 + 605 + 26 + 9 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 133807708369 + ... + 133807709231.

It is an arithmetic number, because the mean of its divisors is an integer number (365183443170).

Almost surely, 2^{115476052694400} is an apocalyptic number.

115476052694400 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 115476052694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210345663265920).

115476052694400 is an abundant number, since it is smaller than the sum of its proper divisors (305215273837440).

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

115476052694400 is a wasteful number, since it uses less digits than its factorization.

115476052694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 115476052694400 in words is "one hundred fifteen trillion, four hundred seventy-six billion, fifty-two million, six hundred ninety-four thousand, four hundred".