25358876928 has 1152 divisors, whose sum is σ = 101722521600. Its totient is φ = 6038323200.

The previous prime is 25358876911. The next prime is 25358876947. The reversal of 25358876928 is 82967885352.

25358876928 is a `hidden beast` number, since 2 + 535 + 8 + 8 + 7 + 6 + 92 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 478469350 + ... + 478469402.

It is an arithmetic number, because the mean of its divisors is an integer number (88300800).

Almost surely, 2^25358876928 is an apocalyptic number.

25358876928 is a gapful number since it is divisible by the number (28) 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 25358876928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50861260800).

25358876928 is an abundant number, since it is smaller than the sum of its proper divisors (76363644672).

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

25358876928 is a wasteful number, since it uses less digits than its factorization.

25358876928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 136 counting only the distinct ones).

The product of its digits is 58060800, while the sum is 63.

The spelling of 25358876928 in words is "twenty-five billion, three hundred fifty-eight million, eight hundred seventy-six thousand, nine hundred twenty-eight".