25480761984 has 576 divisors, whose sum is σ = 86192121600. Its totient is φ = 7172997120.

The previous prime is 25480761881. The next prime is 25480762007. The reversal of 25480761984 is 48916708452.

It is a happy number.

25480761984 is a `hidden beast` number, since 2 + 5 + 480 + 76 + 1 + 98 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 25480761984.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 542143849 + ... + 542143895.

It is an arithmetic number, because the mean of its divisors is an integer number (149639100).

Almost surely, 2^25480761984 is an apocalyptic number.

25480761984 is a gapful number since it is divisible by the number (24) 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 25480761984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43096060800).

25480761984 is an abundant number, since it is smaller than the sum of its proper divisors (60711359616).

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

25480761984 is a wasteful number, since it uses less digits than its factorization.

25480761984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 25480761984 in words is "twenty-five billion, four hundred eighty million, seven hundred sixty-one thousand, nine hundred eighty-four".