25990070400 has 768 divisors, whose sum is σ = 111049440000. Its totient is φ = 5933813760.

The previous prime is 25990070389. The next prime is 25990070401. The reversal of 25990070400 is 407009952.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25990070401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29634762 + ... + 29635638.

It is an arithmetic number, because the mean of its divisors is an integer number (144595625).

Almost surely, 2^25990070400 is an apocalyptic number.

25990070400 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 25990070400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55524720000).

25990070400 is an abundant number, since it is smaller than the sum of its proper divisors (85059369600).

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

25990070400 is an equidigital number, since it uses as much as digits as its factorization.

25990070400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 931 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 25990070400 in words is "twenty-five billion, nine hundred ninety million, seventy thousand, four hundred".