130769757720 has 512 divisors, whose sum is σ = 528394752000. Its totient is φ = 28119674880.

The previous prime is 130769757673. The next prime is 130769757791. The reversal of 130769757720 is 27757967031.

130769757720 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 69 + 7 + 577 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 10600516 + ... + 10612844.

It is an arithmetic number, because the mean of its divisors is an integer number (1032021000).

Almost surely, 2^130769757720 is an apocalyptic number.

130769757720 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 130769757720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264197376000).

130769757720 is an abundant number, since it is smaller than the sum of its proper divisors (397624994280).

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

130769757720 is a wasteful number, since it uses less digits than its factorization.

130769757720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12440 (or 12430 counting only the distinct ones).

The product of its (nonzero) digits is 3889620, while the sum is 54.

The spelling of 130769757720 in words is "one hundred thirty billion, seven hundred sixty-nine million, seven hundred fifty-seven thousand, seven hundred twenty".