25164509760 has 1120 divisors, whose sum is σ = 107066437632. Its totient is φ = 5547294720.

The previous prime is 25164509753. The next prime is 25164509779. The reversal of 25164509760 is 6790546152.

25164509760 is a `hidden beast` number, since 2 + 51 + 6 + 450 + 97 + 60 = 666.

It is a super-2 number, since 2×25164509760² (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 159 ways as a sum of consecutive naturals, for example, 131751265 + ... + 131751455.

Almost surely, 2^25164509760 is an apocalyptic number.

25164509760 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 25164509760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53533218816).

25164509760 is an abundant number, since it is smaller than the sum of its proper divisors (81901927872).

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

25164509760 is a wasteful number, since it uses less digits than its factorization.

25164509760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 25164509760 in words is "twenty-five billion, one hundred sixty-four million, five hundred nine thousand, seven hundred sixty".