25579794240 has 1344 divisors, whose sum is σ = 124615895040. Its totient is φ = 4638228480.

The previous prime is 25579794217. The next prime is 25579794263. The reversal of 25579794240 is 4249797552.

25579794240 is a `hidden beast` number, since 2 + 557 + 9 + 7 + 9 + 42 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (25579794217) and next prime (25579794263).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54774487 + ... + 54774953.

It is an arithmetic number, because the mean of its divisors is an integer number (92720160).

Almost surely, 2^25579794240 is an apocalyptic number.

25579794240 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 25579794240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62307947520).

25579794240 is an abundant number, since it is smaller than the sum of its proper divisors (99036100800).

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

25579794240 is a wasteful number, since it uses less digits than its factorization.

25579794240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 25579794240 in words is "twenty-five billion, five hundred seventy-nine million, seven hundred ninety-four thousand, two hundred forty".