25677437940 has 384 divisors, whose sum is σ = 100870963200. Its totient is φ = 5267358720.

The previous prime is 25677437939. The next prime is 25677437953. The reversal of 25677437940 is 4973477652.

25677437940 is a `hidden beast` number, since 2 + 56 + 77 + 437 + 94 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 3280912 + ... + 3288728.

It is an arithmetic number, because the mean of its divisors is an integer number (262684800).

Almost surely, 2^25677437940 is an apocalyptic number.

25677437940 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 25677437940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50435481600).

25677437940 is an abundant number, since it is smaller than the sum of its proper divisors (75193525260).

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

25677437940 is a wasteful number, since it uses less digits than its factorization.

25677437940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7932 (or 7924 counting only the distinct ones).

The product of its (nonzero) digits is 8890560, while the sum is 54.

The spelling of 25677437940 in words is "twenty-five billion, six hundred seventy-seven million, four hundred thirty-seven thousand, nine hundred forty".