130787976533760 has 4320 divisors, whose sum is σ = 611154334973952. Its totient is φ = 26441724395520.

The previous prime is 130787976533749. The next prime is 130787976533771. The reversal of 130787976533760 is 67335679787031.

130787976533760 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 87 + 9 + 7 + 6 + 533 + 7 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (130787976533749) and next prime (130787976533771).

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 260015857669 + ... + 260015858171.

Almost surely, 2^{130787976533760} is an apocalyptic number.

130787976533760 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 130787976533760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305577167486976).

130787976533760 is an abundant number, since it is smaller than the sum of its proper divisors (480366358440192).

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

130787976533760 is a wasteful number, since it uses less digits than its factorization.

130787976533760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 721 (or 691 counting only the distinct ones).

The product of its (nonzero) digits is 840157920, while the sum is 72.

The spelling of 130787976533760 in words is "one hundred thirty trillion, seven hundred eighty-seven billion, nine hundred seventy-six million, five hundred thirty-three thousand, seven hundred sixty".