130772551680 has 384 divisors, whose sum is σ = 492217689600. Its totient is φ = 32820166656.

The previous prime is 130772551669. The next prime is 130772551687. The reversal of 130772551680 is 86155277031.

It is a happy number.

130772551680 is a `hidden beast` number, since 1 + 30 + 7 + 7 + 2 + 551 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (130772551687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4686249 + ... + 4714071.

It is an arithmetic number, because the mean of its divisors is an integer number (1281816900).

Almost surely, 2^130772551680 is an apocalyptic number.

130772551680 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 130772551680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246108844800).

130772551680 is an abundant number, since it is smaller than the sum of its proper divisors (361445137920).

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

130772551680 is a wasteful number, since it uses less digits than its factorization.

130772551680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27876 (or 27850 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 130772551680 in words is "one hundred thirty billion, seven hundred seventy-two million, five hundred fifty-one thousand, six hundred eighty".