25313070720 has 960 divisors, whose sum is σ = 105252616800. Its totient is φ = 5158895616.

The previous prime is 25313070691. The next prime is 25313070787. The reversal of 25313070720 is 2707031352.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1332266871 + ... + 1332266889.

Almost surely, 2^25313070720 is an apocalyptic number.

25313070720 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 25313070720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52626308400).

25313070720 is an abundant number, since it is smaller than the sum of its proper divisors (79939546080).

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

25313070720 is an equidigital number, since it uses as much as digits as its factorization.

25313070720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 30.

The spelling of 25313070720 in words is "twenty-five billion, three hundred thirteen million, seventy thousand, seven hundred twenty".