12751483764096 has 512 divisors, whose sum is σ = 47385708825600. Its totient is φ = 3279273984000.

The previous prime is 12751483764017. The next prime is 12751483764137. The reversal of 12751483764096 is 69046738415721.

12751483764096 is a `hidden beast` number, since 1 + 2 + 7 + 5 + 1 + 483 + 7 + 64 + 0 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26640096 + ... + 27114528.

It is an arithmetic number, because the mean of its divisors is an integer number (92550212550).

It is a 1-persistent number, because it is pandigital, but 2⋅12751483764096 = 25502967528192 is not.

Almost surely, 2^{12751483764096} is an apocalyptic number.

12751483764096 is a gapful number since it is divisible by the number (16) 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 12751483764096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23692854412800).

12751483764096 is an abundant number, since it is smaller than the sum of its proper divisors (34634225061504).

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

12751483764096 is a wasteful number, since it uses less digits than its factorization.

12751483764096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474575 (or 474557 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 12751483764096 in words is "twelve trillion, seven hundred fifty-one billion, four hundred eighty-three million, seven hundred sixty-four thousand, ninety-six".