25913946240 has 576 divisors, whose sum is σ = 110768523840. Its totient is φ = 5466120192.

The previous prime is 25913946211. The next prime is 25913946241. The reversal of 25913946240 is 4264931952.

25913946240 is a `hidden beast` number, since 2 + 5 + 9 + 13 + 9 + 4 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×25913946240² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (25913946241) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6812179 + ... + 6815981.

It is an arithmetic number, because the mean of its divisors is an integer number (192306465).

Almost surely, 2^25913946240 is an apocalyptic number.

25913946240 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 25913946240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55384261920).

25913946240 is an abundant number, since it is smaller than the sum of its proper divisors (84854577600).

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

25913946240 is a wasteful number, since it uses less digits than its factorization.

25913946240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3861 (or 3833 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 25913946240 in words is "twenty-five billion, nine hundred thirteen million, nine hundred forty-six thousand, two hundred forty".