25430028624 has 960 divisors, whose sum is σ = 103353384960. Its totient is φ = 5878656000.

The previous prime is 25430028557. The next prime is 25430028643. The reversal of 25430028624 is 42682003452.

25430028624 is a `hidden beast` number, since 2 + 5 + 4 + 3 + 0 + 0 + 28 + 624 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 93837609 + ... + 93837879.

It is an arithmetic number, because the mean of its divisors is an integer number (107659776).

Almost surely, 2^25430028624 is an apocalyptic number.

25430028624 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 25430028624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51676692480).

25430028624 is an abundant number, since it is smaller than the sum of its proper divisors (77923356336).

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

25430028624 is a wasteful number, since it uses less digits than its factorization.

25430028624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The spelling of 25430028624 in words is "twenty-five billion, four hundred thirty million, twenty-eight thousand, six hundred twenty-four".