12570494976 has 576 divisors, whose sum is σ = 42570964800. Its totient is φ = 3678732288.

The previous prime is 12570494941. The next prime is 12570495031. The reversal of 12570494976 is 67949407521.

12570494976 is a `hidden beast` number, since 12 + 5 + 70 + 494 + 9 + 76 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187619295 + ... + 187619361.

It is an arithmetic number, because the mean of its divisors is an integer number (73907925).

Almost surely, 2^12570494976 is an apocalyptic number.

12570494976 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 12570494976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21285482400).

12570494976 is an abundant number, since it is smaller than the sum of its proper divisors (30000469824).

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

12570494976 is an equidigital number, since it uses as much as digits as its factorization.

12570494976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 12570494976 in words is "twelve billion, five hundred seventy million, four hundred ninety-four thousand, nine hundred seventy-six".