115332455552400 has 360 divisors, whose sum is σ = 421332021864000. Its totient is φ = 29134453662720.

The previous prime is 115332455552399. The next prime is 115332455552401. The reversal of 115332455552400 is 4255554233511.

115332455552400 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 3 + 2 + 4 + 55 + 552 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115332455552399) and next prime (115332455552401).

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (115332455552401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1047764566 + ... + 1047874634.

It is an arithmetic number, because the mean of its divisors is an integer number (1170366727400).

Almost surely, 2^{115332455552400} is an apocalyptic number.

115332455552400 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 115332455552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210666010932000).

115332455552400 is an abundant number, since it is smaller than the sum of its proper divisors (305999566311600).

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

115332455552400 is a wasteful number, since it uses less digits than its factorization.

115332455552400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125431 (or 125417 counting only the distinct ones).

The product of its (nonzero) digits is 1800000, while the sum is 45.

The spelling of 115332455552400 in words is "one hundred fifteen trillion, three hundred thirty-two billion, four hundred fifty-five million, five hundred fifty-two thousand, four hundred".