20064155904 has 243 divisors, whose sum is σ = 62919380433. Its totient is φ = 6146390016.

The previous prime is 20064155897. The next prime is 20064155921. The reversal of 20064155904 is 40955146002.

The square root of 20064155904 is 141648.

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

20064155904 is a `hidden beast` number, since 2 + 0 + 0 + 64 + 1 + 5 + 590 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2968070400 + 17096085504 = 54480^2 + 130752^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88388239 + ... + 88388465.

Almost surely, 2^20064155904 is an apocalyptic number.

20064155904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

20064155904 is the 141648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20064155904

20064155904 is an abundant number, since it is smaller than the sum of its proper divisors (42855224529).

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

20064155904 is an equidigital number, since it uses as much as digits as its factorization.

20064155904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Multiplying 20064155904 by its sum of digits (36), we get a square (722309612544 = 849888²).

20064155904 divided by its sum of digits (36) gives a square (557337664 = 23608²).

The spelling of 20064155904 in words is "twenty billion, sixty-four million, one hundred fifty-five thousand, nine hundred four".