115056351506400 has 288 divisors, whose sum is σ = 383655188746368. Its totient is φ = 29933971200000.

The previous prime is 115056351506323. The next prime is 115056351506401. The reversal of 115056351506400 is 4605153650511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115056351506401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 89870775 + ... + 91142025.

It is an arithmetic number, because the mean of its divisors is an integer number (1332136072036).

Almost surely, 2^{115056351506400} is an apocalyptic number.

115056351506400 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 115056351506400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191827594373184).

115056351506400 is an abundant number, since it is smaller than the sum of its proper divisors (268598837239968).

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

115056351506400 is a wasteful number, since it uses less digits than its factorization.

115056351506400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272194 (or 1272181 counting only the distinct ones).

The product of its (nonzero) digits is 270000, while the sum is 42.

The spelling of 115056351506400 in words is "one hundred fifteen trillion, fifty-six billion, three hundred fifty-one million, five hundred six thousand, four hundred".