39087115161600 has 468 divisors, whose sum is σ = 142048843340768. Its totient is φ = 9475655270400.

The previous prime is 39087115161433. The next prime is 39087115161629. The reversal of 39087115161600 is 616151178093.

It is a super-2 number, since 2×39087115161600² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 39087115161600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36645429 + ... + 37696971.

Almost surely, 2^{39087115161600} is an apocalyptic number.

39087115161600 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 39087115161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71024421670384).

39087115161600 is an abundant number, since it is smaller than the sum of its proper divisors (102961728179168).

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

39087115161600 is a wasteful number, since it uses less digits than its factorization.

39087115161600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1051602 (or 1051564 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 48.

The spelling of 39087115161600 in words is "thirty-nine trillion, eighty-seven billion, one hundred fifteen million, one hundred sixty-one thousand, six hundred".