25402473600 has 768 divisors, whose sum is σ = 100172160000. Its totient is φ = 5537710080.

The previous prime is 25402473581. The next prime is 25402473619. The reversal of 25402473600 is 637420452.

It is an interprime number because it is at equal distance from previous prime (25402473581) and next prime (25402473619).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 170486326 + ... + 170486474.

It is an arithmetic number, because the mean of its divisors is an integer number (130432500).

Almost surely, 2^25402473600 is an apocalyptic number.

25402473600 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 25402473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50086080000).

25402473600 is an abundant number, since it is smaller than the sum of its proper divisors (74769686400).

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

25402473600 is a wasteful number, since it uses less digits than its factorization.

25402473600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The spelling of 25402473600 in words is "twenty-five billion, four hundred two million, four hundred seventy-three thousand, six hundred".