25135550400 has 168 divisors, whose sum is σ = 84694948720. Its totient is φ = 6521610240.

The previous prime is 25135550359. The next prime is 25135550443. The reversal of 25135550400 is 405553152.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 106836 + ... + 248364.

Almost surely, 2^25135550400 is an apocalyptic number.

25135550400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25135550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42347474360).

25135550400 is an abundant number, since it is smaller than the sum of its proper divisors (59559398320).

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

25135550400 is a wasteful number, since it uses less digits than its factorization.

25135550400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141591 (or 141576 counting only the distinct ones).

The product of its (nonzero) digits is 15000, while the sum is 30.

The spelling of 25135550400 in words is "twenty-five billion, one hundred thirty-five million, five hundred fifty thousand, four hundred".