25745990400 has 864 divisors, whose sum is σ = 103719264320. Its totient is φ = 6210846720.

The previous prime is 25745990341. The next prime is 25745990411. The reversal of 25745990400 is 409954752.

25745990400 is a `hidden beast` number, since 2 + 57 + 4 + 599 + 0 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163987122 + ... + 163987278.

Almost surely, 2^25745990400 is an apocalyptic number.

25745990400 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 25745990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51859632160).

25745990400 is an abundant number, since it is smaller than the sum of its proper divisors (77973273920).

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

25745990400 is a wasteful number, since it uses less digits than its factorization.

25745990400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 25745990400 in words is "twenty-five billion, seven hundred forty-five million, nine hundred ninety thousand, four hundred".