25610502400 has 432 divisors, whose sum is σ = 75623159808. Its totient is φ = 8404992000.

The previous prime is 25610502391. The next prime is 25610502403. The reversal of 25610502400 is 420501652.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (25610502403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134086305 + ... + 134086495.

Almost surely, 2^25610502400 is an apocalyptic number.

25610502400 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 25610502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37811579904).

25610502400 is an abundant number, since it is smaller than the sum of its proper divisors (50012657408).

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

25610502400 is a wasteful number, since it uses less digits than its factorization.

25610502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The spelling of 25610502400 in words is "twenty-five billion, six hundred ten million, five hundred two thousand, four hundred".