25085410560 has 576 divisors, whose sum is σ = 102880243200. Its totient is φ = 5669388288.

The previous prime is 25085410541. The next prime is 25085410589. The reversal of 25085410560 is 6501458052.

25085410560 is a `hidden beast` number, since 2 + 5 + 0 + 85 + 4 + 10 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 63 ways as a sum of consecutive naturals, for example, 23465706 + ... + 23466774.

Almost surely, 2^25085410560 is an apocalyptic number.

25085410560 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 25085410560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51440121600).

25085410560 is an abundant number, since it is smaller than the sum of its proper divisors (77794832640).

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

25085410560 is a wasteful number, since it uses less digits than its factorization.

25085410560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 25085410560 in words is "twenty-five billion, eighty-five million, four hundred ten thousand, five hundred sixty".