25270971264 has 384 divisors, whose sum is σ = 91011548160. Its totient is φ = 6538752000.

The previous prime is 25270971259. The next prime is 25270971277. The reversal of 25270971264 is 46217907252.

25270971264 is a `hidden beast` number, since 252 + 70 + 9 + 71 + 264 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38231094 + ... + 38231754.

It is an arithmetic number, because the mean of its divisors is an integer number (237009240).

Almost surely, 2^25270971264 is an apocalyptic number.

25270971264 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 25270971264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45505774080).

25270971264 is an abundant number, since it is smaller than the sum of its proper divisors (65740576896).

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

25270971264 is a wasteful number, since it uses less digits than its factorization.

25270971264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1130 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 25270971264 in words is "twenty-five billion, two hundred seventy million, nine hundred seventy-one thousand, two hundred sixty-four".