5905615104 has 81 divisors (see below), whose sum is σ = 17037986329. Its totient is φ = 1967308800.

The previous prime is 5905615081. The next prime is 5905615147. The reversal of 5905615104 is 4015165095.

The square root of 5905615104 is 76848.

It is a perfect power (a square), and thus also a powerful number.

5905615104 is a `hidden beast` number, since 5 + 90 + 56 + 1 + 510 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5890869504 + 14745600 = 76752^2 + 3840^2 .

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

It is a Duffinian number.

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, 3687904 + ... + 3689504.

Almost surely, 2^5905615104 is an apocalyptic number.

5905615104 is the 76848-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5905615104

5905615104 is an abundant number, since it is smaller than the sum of its proper divisors (11132371225).

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

5905615104 is an frugal number, since it uses more digits than its factorization.

5905615104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3224 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 36.

The cubic root of 5905615104 is about 1807.5419258768.

Multiplying 5905615104 by its sum of digits (36), we get a square (212602143744 = 461088²).

5905615104 divided by its sum of digits (36) gives a square (164044864 = 12808²).

The spelling of 5905615104 in words is "five billion, nine hundred five million, six hundred fifteen thousand, one hundred four".