25388781264 has 800 divisors, whose sum is σ = 98176573440. Its totient is φ = 6139929600.

The previous prime is 25388781263. The next prime is 25388781281. The reversal of 25388781264 is 46218788352.

25388781264 is a `hidden beast` number, since 2 + 538 + 8 + 7 + 81 + 26 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 25388781264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25388781263) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 89712867 + ... + 89713149.

Almost surely, 2^25388781264 is an apocalyptic number.

25388781264 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 25388781264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49088286720).

25388781264 is an abundant number, since it is smaller than the sum of its proper divisors (72787792176).

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

25388781264 is a wasteful number, since it uses less digits than its factorization.

25388781264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 366 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 25388781264 in words is "twenty-five billion, three hundred eighty-eight million, seven hundred eighty-one thousand, two hundred sixty-four".