25662506940 has 384 divisors, whose sum is σ = 97284096000. Its totient is φ = 5485439232.

The previous prime is 25662506917. The next prime is 25662506951. The reversal of 25662506940 is 4960526652.

It is a happy number.

25662506940 is a `hidden beast` number, since 2 + 56 + 6 + 2 + 506 + 94 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5671519 + ... + 5676041.

It is an arithmetic number, because the mean of its divisors is an integer number (253344000).

Almost surely, 2^25662506940 is an apocalyptic number.

25662506940 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 25662506940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48642048000).

25662506940 is an abundant number, since it is smaller than the sum of its proper divisors (71621589060).

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

25662506940 is a wasteful number, since it uses less digits than its factorization.

25662506940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4646 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 25662506940 in words is "twenty-five billion, six hundred sixty-two million, five hundred six thousand, nine hundred forty".