25209972480 has 864 divisors, whose sum is σ = 105852644352. Its totient is φ = 4995809280.

The previous prime is 25209972439. The next prime is 25209972493. The reversal of 25209972480 is 8427990252.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74806872 + ... + 74807208.

Almost surely, 2^25209972480 is an apocalyptic number.

25209972480 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 25209972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52926322176).

25209972480 is an abundant number, since it is smaller than the sum of its proper divisors (80642671872).

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

25209972480 is a wasteful number, since it uses less digits than its factorization.

25209972480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 25209972480 in words is "twenty-five billion, two hundred nine million, nine hundred seventy-two thousand, four hundred eighty".