115275742401600 has 2352 divisors, whose sum is σ = 474814774463040. Its totient is φ = 27297168998400.

The previous prime is 115275742401577. The next prime is 115275742401607. The reversal of 115275742401600 is 6104247572511.

115275742401600 is a `hidden beast` number, since 1 + 1 + 5 + 27 + 574 + 2 + 40 + 16 + 0 + 0 = 666.

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 (115275742401607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 149127738814 + ... + 149127739586.

Almost surely, 2^{115275742401600} is an apocalyptic number.

115275742401600 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 115275742401600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237407387231520).

115275742401600 is an abundant number, since it is smaller than the sum of its proper divisors (359539032061440).

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

115275742401600 is a wasteful number, since it uses less digits than its factorization.

115275742401600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1080 (or 1050 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 115275742401600 in words is "one hundred fifteen trillion, two hundred seventy-five billion, seven hundred forty-two million, four hundred one thousand, six hundred".