25321379328 has 640 divisors, whose sum is σ = 92519792640. Its totient is φ = 6678650880.

The previous prime is 25321379327. The next prime is 25321379333. The reversal of 25321379328 is 82397312352.

25321379328 is a `hidden beast` number, since 2 + 532 + 1 + 3 + 7 + 93 + 28 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25321379327) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68995401 + ... + 68995767.

It is an arithmetic number, because the mean of its divisors is an integer number (144562176).

Almost surely, 2^25321379328 is an apocalyptic number.

25321379328 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 25321379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46259896320).

25321379328 is an abundant number, since it is smaller than the sum of its proper divisors (67198413312).

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

25321379328 is a wasteful number, since it uses less digits than its factorization.

25321379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 433 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 25321379328 in words is "twenty-five billion, three hundred twenty-one million, three hundred seventy-nine thousand, three hundred twenty-eight".