115261212624096 has 384 divisors, whose sum is σ = 384401396736000. Its totient is φ = 29368100136960.

The previous prime is 115261212624017. The next prime is 115261212624097. The reversal of 115261212624096 is 690426212162511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115261212624097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2655827805 + ... + 2655871203.

It is an arithmetic number, because the mean of its divisors is an integer number (1001045304000).

Almost surely, 2^{115261212624096} is an apocalyptic number.

115261212624096 is a gapful number since it is divisible by the number (16) 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 115261212624096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192200698368000).

115261212624096 is an abundant number, since it is smaller than the sum of its proper divisors (269140184111904).

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

115261212624096 is a wasteful number, since it uses less digits than its factorization.

115261212624096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50262 (or 50254 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The spelling of 115261212624096 in words is "one hundred fifteen trillion, two hundred sixty-one billion, two hundred twelve million, six hundred twenty-four thousand, ninety-six".