130922026560 has 1344 divisors, whose sum is σ = 547291442880. Its totient is φ = 28405923840.

The previous prime is 130922026553. The next prime is 130922026561. The reversal of 130922026560 is 65620229031.

130922026560 is a `hidden beast` number, since 1 + 3 + 0 + 92 + 2 + 0 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 84597212736 + 46324813824 = 290856^2 + 215232^2 .

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 (130922026561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 756774634 + ... + 756774806.

It is an arithmetic number, because the mean of its divisors is an integer number (407210895).

Almost surely, 2^130922026560 is an apocalyptic number.

130922026560 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 130922026560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273645721440).

130922026560 is an abundant number, since it is smaller than the sum of its proper divisors (416369416320).

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

130922026560 is a wasteful number, since it uses less digits than its factorization.

130922026560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 283 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 130922026560 in words is "one hundred thirty billion, nine hundred twenty-two million, twenty-six thousand, five hundred sixty".