12751157469960 has 640 divisors, whose sum is σ = 53613181036800. Its totient is φ = 2646246205440.

The previous prime is 12751157469929. The next prime is 12751157469991. The reversal of 12751157469960 is 6996475115721.

12751157469960 is a `hidden beast` number, since 1 + 2 + 7 + 51 + 1 + 574 + 6 + 9 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (12751157469929) and next prime (12751157469991).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 17630751 + ... + 18339729.

It is an arithmetic number, because the mean of its divisors is an integer number (83770595370).

Almost surely, 2^{12751157469960} is an apocalyptic number.

12751157469960 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 12751157469960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26806590518400).

12751157469960 is an abundant number, since it is smaller than the sum of its proper divisors (40862023566840).

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

12751157469960 is a wasteful number, since it uses less digits than its factorization.

12751157469960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 709083 (or 709070 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 12751157469960 in words is "twelve trillion, seven hundred fifty-one billion, one hundred fifty-seven million, four hundred sixty-nine thousand, nine hundred sixty".