25496951424 has 512 divisors, whose sum is σ = 86858956800. Its totient is φ = 6458572800.

The previous prime is 25496951377. The next prime is 25496951453. The reversal of 25496951424 is 42415969452.

It is a Harshad number since it is a multiple of its sum of digits (51).

Its product of digits (3110400) is a multiple of the sum of its prime divisors (540).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58079397 + ... + 58079835.

It is an arithmetic number, because the mean of its divisors is an integer number (169646400).

Almost surely, 2^25496951424 is an apocalyptic number.

25496951424 is a gapful number since it is divisible by the number (24) 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 25496951424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43429478400).

25496951424 is an abundant number, since it is smaller than the sum of its proper divisors (61362005376).

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

25496951424 is a wasteful number, since it uses less digits than its factorization.

25496951424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 540 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 51.

The spelling of 25496951424 in words is "twenty-five billion, four hundred ninety-six million, nine hundred fifty-one thousand, four hundred twenty-four".