25504090000 has 75 divisors (see below), whose sum is σ = 61786641477. Its totient is φ = 10195248000.

The previous prime is 25504089983. The next prime is 25504090009. The reversal of 25504090000 is 9040552.

The square root of 25504090000 is 159700.

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

It can be written as a sum of positive squares in 7 ways, for example, as 24682923664 + 821166336 = 157108^2 + 28656^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25504090009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 15969202 + ... + 15970798.

Almost surely, 2^25504090000 is an apocalyptic number.

25504090000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25504090000 is the 159700-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25504090000

25504090000 is an abundant number, since it is smaller than the sum of its proper divisors (36282551477).

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

25504090000 is an frugal number, since it uses more digits than its factorization.

25504090000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 1604 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Multiplying 25504090000 by its sum of digits (25), we get a square (637602250000 = 798500²).

25504090000 divided by its sum of digits (25) gives a square (1020163600 = 31940²).

The spelling of 25504090000 in words is "twenty-five billion, five hundred four million, ninety thousand".