25344372480 has 576 divisors, whose sum is σ = 100662912000. Its totient is φ = 5301338112.

The previous prime is 25344372457. The next prime is 25344372509. The reversal of 25344372480 is 8427344352.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16906771 + ... + 16908269.

It is an arithmetic number, because the mean of its divisors is an integer number (174762000).

Almost surely, 2^25344372480 is an apocalyptic number.

25344372480 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 25344372480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50331456000).

25344372480 is an abundant number, since it is smaller than the sum of its proper divisors (75318539520).

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

25344372480 is a wasteful number, since it uses less digits than its factorization.

25344372480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 42.

The spelling of 25344372480 in words is "twenty-five billion, three hundred forty-four million, three hundred seventy-two thousand, four hundred eighty".