39956252672 has 108 divisors (see below), whose sum is σ = 93084268095. Its totient is φ = 17096970240.

The previous prime is 39956252657. The next prime is 39956252681. The reversal of 39956252672 is 27625265993.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 19978126336 + 19978126336 = 141344^2 + 141344^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=141344.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 63321797 + ... + 63322427.

Almost surely, 2^39956252672 is an apocalyptic number.

39956252672 is a gapful number since it is divisible by the number (32) 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 39956252672

39956252672 is an abundant number, since it is smaller than the sum of its proper divisors (53128015423).

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

39956252672 is an frugal number, since it uses more digits than its factorization.

39956252672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 640 counting only the distinct ones).

The product of its digits is 12247200, while the sum is 56.

The spelling of 39956252672 in words is "thirty-nine billion, nine hundred fifty-six million, two hundred fifty-two thousand, six hundred seventy-two".