39157807104 has 768 divisors, whose sum is σ = 136491264000. Its totient is φ = 10988421120.

The previous prime is 39157807103. The next prime is 39157807109. The reversal of 39157807104 is 40170875193.

39157807104 is a `hidden beast` number, since 3 + 9 + 1 + 578 + 0 + 71 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 39157807104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39157807103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 641931234 + ... + 641931294.

It is an arithmetic number, because the mean of its divisors is an integer number (177723000).

Almost surely, 2^39157807104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39157807104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632000).

39157807104 is an abundant number, since it is smaller than the sum of its proper divisors (97333456896).

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

39157807104 is a wasteful number, since it uses less digits than its factorization.

39157807104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 39157807104 in words is "thirty-nine billion, one hundred fifty-seven million, eight hundred seven thousand, one hundred four".