130862253600 has 864 divisors, whose sum is σ = 525150138240. Its totient is φ = 30420910080.

The previous prime is 130862253569. The next prime is 130862253601. The reversal of 130862253600 is 6352268031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130862253601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 191598859 + ... + 191599541.

It is an arithmetic number, because the mean of its divisors is an integer number (607812660).

Almost surely, 2^130862253600 is an apocalyptic number.

130862253600 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 130862253600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262575069120).

130862253600 is an abundant number, since it is smaller than the sum of its proper divisors (394287884640).

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

130862253600 is a wasteful number, since it uses less digits than its factorization.

130862253600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 130862253600 in words is "one hundred thirty billion, eight hundred sixty-two million, two hundred fifty-three thousand, six hundred".