25552661904 has 405 divisors, whose sum is σ = 91968969729. Its totient is φ = 6598690560.

The previous prime is 25552661887. The next prime is 25552661933. The reversal of 25552661904 is 40916625552.

The square root of 25552661904 is 159852.

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

25552661904 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 26 + 619 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23244051600 + 2308610304 = 152460^2 + 48048^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 25552661904.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 147703162 + ... + 147703334.

Almost surely, 2^25552661904 is an apocalyptic number.

25552661904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25552661904 is the 159852-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25552661904

25552661904 is an abundant number, since it is smaller than the sum of its proper divisors (66416307825).

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

25552661904 is a wasteful number, since it uses less digits than its factorization.

25552661904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 396 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 25552661904 in words is "twenty-five billion, five hundred fifty-two million, six hundred sixty-one thousand, nine hundred four".