25427491600 has 405 divisors, whose sum is σ = 76632968223. Its totient is φ = 8082708480.

The previous prime is 25427491577. The next prime is 25427491613. The reversal of 25427491600 is 619472452.

The square root of 25427491600 is 159460.

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

It can be written as a sum of positive squares in 4 ways, for example, as 594774544 + 24832717056 = 24388^2 + 157584^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 379514767 + ... + 379514833.

Almost surely, 2^25427491600 is an apocalyptic number.

25427491600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25427491600 is the 159460-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25427491600

25427491600 is an abundant number, since it is smaller than the sum of its proper divisors (51205476623).

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

25427491600 is a wasteful number, since it uses less digits than its factorization.

25427491600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The spelling of 25427491600 in words is "twenty-five billion, four hundred twenty-seven million, four hundred ninety-one thousand, six hundred".