25213921920 has 768 divisors, whose sum is σ = 101582208000. Its totient is φ = 5900083200.

The previous prime is 25213921919. The next prime is 25213921927. The reversal of 25213921920 is 2912931252.

25213921920 is a `hidden beast` number, since 252 + 1 + 392 + 19 + 2 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25213921927) 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, 64817086 + ... + 64817474.

It is an arithmetic number, because the mean of its divisors is an integer number (132268500).

Almost surely, 2^25213921920 is an apocalyptic number.

25213921920 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 25213921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50791104000).

25213921920 is an abundant number, since it is smaller than the sum of its proper divisors (76368286080).

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

25213921920 is a wasteful number, since it uses less digits than its factorization.

25213921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 25213921920 in words is "twenty-five billion, two hundred thirteen million, nine hundred twenty-one thousand, nine hundred twenty".