39104156160 has 400 divisors, whose sum is σ = 148310849016. Its totient is φ = 9813491712.

The previous prime is 39104156137. The next prime is 39104156171. The reversal of 39104156160 is 6165140193.

39104156160 is a `hidden beast` number, since 3 + 91 + 0 + 4 + 1 + 561 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38409728256 + 694427904 = 195984^2 + 26352^2 .

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

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 39 ways as a sum of consecutive naturals, for example, 3519574 + ... + 3530666.

Almost surely, 2^39104156160 is an apocalyptic number.

39104156160 is a gapful number since it is divisible by the number (30) 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 39104156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74155424508).

39104156160 is an abundant number, since it is smaller than the sum of its proper divisors (109206692856).

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

39104156160 is a wasteful number, since it uses less digits than its factorization.

39104156160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11145 (or 11120 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 39104156160 in words is "thirty-nine billion, one hundred four million, one hundred fifty-six thousand, one hundred sixty".