12570613632 has 96 divisors (see below), whose sum is σ = 36786555000. Its totient is φ = 4119161856.

The previous prime is 12570613619. The next prime is 12570613639. The reversal of 12570613632 is 23631607521.

12570613632 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 0 + 6 + 13 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×12570613632³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12570613639) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24507 + ... + 160442.

Almost surely, 2^12570613632 is an apocalyptic number.

12570613632 is a gapful number since it is divisible by the number (12) 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 12570613632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18393277500).

12570613632 is an abundant number, since it is smaller than the sum of its proper divisors (24215941368).

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

12570613632 is a wasteful number, since it uses less digits than its factorization.

12570613632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185028 (or 185013 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The spelling of 12570613632 in words is "twelve billion, five hundred seventy million, six hundred thirteen thousand, six hundred thirty-two".