25153960000 has 315 divisors, whose sum is σ = 68666069043. Its totient is φ = 9135360000.

The previous prime is 25153959973. The next prime is 25153960037. The reversal of 25153960000 is 6935152.

The square root of 25153960000 is 158600.

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

It can be written as a sum of positive squares in 22 ways, for example, as 2088855616 + 23065104384 = 45704^2 + 151872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 412359970 + ... + 412360030.

Almost surely, 2^25153960000 is an apocalyptic number.

25153960000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25153960000 is the 158600-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25153960000

25153960000 is an abundant number, since it is smaller than the sum of its proper divisors (43512109043).

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

25153960000 is an frugal number, since it uses more digits than its factorization.

25153960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

Multiplying 25153960000 by its product of nonzero digits (8100), we get a square (203747076000000 = 14274000²).

The spelling of 25153960000 in words is "twenty-five billion, one hundred fifty-three million, nine hundred sixty thousand".