25787545344 has 576 divisors, whose sum is σ = 89642972160. Its totient is φ = 7225344000.

The previous prime is 25787545339. The next prime is 25787545363. The reversal of 25787545344 is 44354578752.

25787545344 is a `hidden beast` number, since 2 + 57 + 8 + 7 + 54 + 534 + 4 = 666.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 91770484 + ... + 91770764.

It is an arithmetic number, because the mean of its divisors is an integer number (155630160).

Almost surely, 2^25787545344 is an apocalyptic number.

25787545344 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 25787545344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44821486080).

25787545344 is an abundant number, since it is smaller than the sum of its proper divisors (63855426816).

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

25787545344 is a wasteful number, since it uses less digits than its factorization.

25787545344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 385 counting only the distinct ones).

The product of its digits is 18816000, while the sum is 54.

The spelling of 25787545344 in words is "twenty-five billion, seven hundred eighty-seven million, five hundred forty-five thousand, three hundred forty-four".