25321076352 has 384 divisors, whose sum is σ = 86064189120. Its totient is φ = 7044710400.

The previous prime is 25321076299. The next prime is 25321076353. The reversal of 25321076352 is 25367012352.

25321076352 is a `hidden beast` number, since 2 + 5 + 3 + 2 + 10 + 7 + 635 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is not an unprimeable number, because it can be changed into a prime (25321076353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46290543 + ... + 46291089.

Almost surely, 2^25321076352 is an apocalyptic number.

25321076352 is a gapful number since it is divisible by the number (22) 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 25321076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43032094560).

25321076352 is an abundant number, since it is smaller than the sum of its proper divisors (60743112768).

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

25321076352 is a wasteful number, since it uses less digits than its factorization.

25321076352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 25321076352 in words is "twenty-five billion, three hundred twenty-one million, seventy-six thousand, three hundred fifty-two".