25223625504 has 576 divisors, whose sum is σ = 93870766080. Its totient is φ = 6472120320.

The previous prime is 25223625461. The next prime is 25223625587. The reversal of 25223625504 is 40552632252.

25223625504 is a `hidden beast` number, since 2 + 5 + 2 + 23 + 625 + 5 + 0 + 4 = 666.

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

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, 61671252 + ... + 61671660.

It is an arithmetic number, because the mean of its divisors is an integer number (162970080).

Almost surely, 2^25223625504 is an apocalyptic number.

25223625504 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 25223625504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46935383040).

25223625504 is an abundant number, since it is smaller than the sum of its proper divisors (68647140576).

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

25223625504 is a wasteful number, since it uses less digits than its factorization.

25223625504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 535 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 25223625504 in words is "twenty-five billion, two hundred twenty-three million, six hundred twenty-five thousand, five hundred four".