25151862400 has 384 divisors, whose sum is σ = 75888000000. Its totient is φ = 8051097600.

The previous prime is 25151862391. The next prime is 25151862403. The reversal of 25151862400 is 426815152.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (25151862403) 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, 20136976 + ... + 20138224.

It is an arithmetic number, because the mean of its divisors is an integer number (197625000).

Almost surely, 2^25151862400 is an apocalyptic number.

25151862400 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 25151862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37944000000).

25151862400 is an abundant number, since it is smaller than the sum of its proper divisors (50736137600).

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

25151862400 is a wasteful number, since it uses less digits than its factorization.

25151862400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1323 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 34.

The spelling of 25151862400 in words is "twenty-five billion, one hundred fifty-one million, eight hundred sixty-two thousand, four hundred".