25268831280 has 1120 divisors, whose sum is σ = 116631249408. Its totient is φ = 4926873600.

The previous prime is 25268831257. The next prime is 25268831293. The reversal of 25268831280 is 8213886252.

25268831280 is a `hidden beast` number, since 252 + 6 + 8 + 8 + 312 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 76340715 + ... + 76341045.

Almost surely, 2^25268831280 is an apocalyptic number.

25268831280 is a gapful number since it is divisible by the number (20) 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 25268831280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58315624704).

25268831280 is an abundant number, since it is smaller than the sum of its proper divisors (91362418128).

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

25268831280 is a wasteful number, since it uses less digits than its factorization.

25268831280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 25268831280 in words is "twenty-five billion, two hundred sixty-eight million, eight hundred thirty-one thousand, two hundred eighty".