25701413472 has 288 divisors, whose sum is σ = 84998833920. Its totient is φ = 7215160320.

The previous prime is 25701413447. The next prime is 25701413519. The reversal of 25701413472 is 27431410752.

25701413472 is a `hidden beast` number, since 2 + 570 + 1 + 4 + 13 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 45010947 + ... + 45011517.

It is an arithmetic number, because the mean of its divisors is an integer number (295134840).

Almost surely, 2^25701413472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25701413472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42499416960).

25701413472 is an abundant number, since it is smaller than the sum of its proper divisors (59297420448).

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

25701413472 is a wasteful number, since it uses less digits than its factorization.

25701413472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 25701413472 in words is "twenty-five billion, seven hundred one million, four hundred thirteen thousand, four hundred seventy-two".