115233202560 has 1024 divisors, whose sum is σ = 468573050880. Its totient is φ = 23484432384.

The previous prime is 115233202547. The next prime is 115233202613. The reversal of 115233202560 is 65202332511.

It is a super-5 number, since 5×115233202560⁵ (a number of 57 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 363511522 + ... + 363511838.

It is an arithmetic number, because the mean of its divisors is an integer number (457590870).

Almost surely, 2^115233202560 is an apocalyptic number.

115233202560 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 115233202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234286525440).

115233202560 is an abundant number, since it is smaller than the sum of its proper divisors (353339848320).

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

115233202560 is a wasteful number, since it uses less digits than its factorization.

115233202560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 443 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 115233202560 in words is "one hundred fifteen billion, two hundred thirty-three million, two hundred two thousand, five hundred sixty".