25567086720 has 384 divisors, whose sum is σ = 98079854400. Its totient is φ = 5641789440.

The previous prime is 25567086683. The next prime is 25567086733. The reversal of 25567086720 is 2768076552.

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

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 25567086720.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2723635 + ... + 2733005.

Almost surely, 2^25567086720 is an apocalyptic number.

25567086720 is a gapful number since it is divisible by the number (20) 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 25567086720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49039927200).

25567086720 is an abundant number, since it is smaller than the sum of its proper divisors (72512767680).

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

25567086720 is a wasteful number, since it uses less digits than its factorization.

25567086720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9436 (or 9417 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 25567086720 in words is "twenty-five billion, five hundred sixty-seven million, eighty-six thousand, seven hundred twenty".