25403376960 has 1008 divisors, whose sum is σ = 103547021760. Its totient is φ = 5693276160.

The previous prime is 25403376959. The next prime is 25403376967. The reversal of 25403376960 is 6967330452.

25403376960 is a `hidden beast` number, since 2 + 540 + 33 + 76 + 9 + 6 + 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 not an unprimeable number, because it can be changed into a prime (25403376967) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 379154847 + ... + 379154913.

It is an arithmetic number, because the mean of its divisors is an integer number (102725220).

Almost surely, 2^25403376960 is an apocalyptic number.

25403376960 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 25403376960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51773510880).

25403376960 is an abundant number, since it is smaller than the sum of its proper divisors (78143644800).

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

25403376960 is a wasteful number, since it uses less digits than its factorization.

25403376960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 25403376960 in words is "twenty-five billion, four hundred three million, three hundred seventy-six thousand, nine hundred sixty".