130274789568000 has 2560 divisors, whose sum is σ = 577823565496320. Its totient is φ = 25221611520000.

The previous prime is 130274789567969. The next prime is 130274789568031. The reversal of 130274789568000 is 865987472031.

It is an interprime number because it is at equal distance from previous prime (130274789567969) and next prime (130274789568031).

It is a tau number, because it is divible by the number of its divisors (2560).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 17134652199 + ... + 17134659801.

It is an arithmetic number, because the mean of its divisors is an integer number (225712330272).

It is a 1-persistent number, because it is pandigital, but 2⋅130274789568000 = 260549579136000 is not.

Almost surely, 2^{130274789568000} is an apocalyptic number.

130274789568000 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 130274789568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288911782748160).

130274789568000 is an abundant number, since it is smaller than the sum of its proper divisors (447548775928320).

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

130274789568000 is a wasteful number, since it uses less digits than its factorization.

130274789568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7737 (or 7711 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 130274789568000 in words is "one hundred thirty trillion, two hundred seventy-four billion, seven hundred eighty-nine million, five hundred sixty-eight thousand".