25089765120 has 576 divisors, whose sum is σ = 104540298240. Its totient is φ = 5577818112.

The previous prime is 25089765109. The next prime is 25089765133. The reversal of 25089765120 is 2156798052.

25089765120 is a `hidden beast` number, since 2 + 50 + 89 + 7 + 6 + 512 + 0 = 666.

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

It is a super-2 number, since 2×25089765120² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8949639 + ... + 8952441.

Almost surely, 2^25089765120 is an apocalyptic number.

25089765120 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 25089765120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52270149120).

25089765120 is an abundant number, since it is smaller than the sum of its proper divisors (79450533120).

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

25089765120 is a wasteful number, since it uses less digits than its factorization.

25089765120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2877 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 25089765120 in words is "twenty-five billion, eighty-nine million, seven hundred sixty-five thousand, one hundred twenty".