25572106560 has 1344 divisors, whose sum is σ = 115662090240. Its totient is φ = 4638965760.

The previous prime is 25572106559. The next prime is 25572106561. The reversal of 25572106560 is 6560127552.

It is an interprime number because it is at equal distance from previous prime (25572106559) and next prime (25572106561).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25572106561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 287326996 + ... + 287327084.

Almost surely, 2^25572106560 is an apocalyptic number.

25572106560 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 25572106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57831045120).

25572106560 is an abundant number, since it is smaller than the sum of its proper divisors (90089983680).

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

25572106560 is a wasteful number, since it uses less digits than its factorization.

25572106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 25572106560 in words is "twenty-five billion, five hundred seventy-two million, one hundred six thousand, five hundred sixty".