25413912000 has 672 divisors, whose sum is σ = 99952332480. Its totient is φ = 6370099200.

The previous prime is 25413911977. The next prime is 25413912001. The reversal of 25413912000 is 21931452.

25413912000 is a `hidden beast` number, since 254 + 1 + 391 + 20 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25413912001) 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, 33047616 + ... + 33048384.

It is an arithmetic number, because the mean of its divisors is an integer number (148738590).

Almost surely, 2^25413912000 is an apocalyptic number.

25413912000 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 25413912000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49976166240).

25413912000 is an abundant number, since it is smaller than the sum of its proper divisors (74538420480).

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

25413912000 is an equidigital number, since it uses as much as digits as its factorization.

25413912000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 828 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 25413912000 in words is "twenty-five billion, four hundred thirteen million, nine hundred twelve thousand".