25965752040 has 320 divisors, whose sum is σ = 91193731200. Its totient is φ = 6618060288.

The previous prime is 25965752039. The next prime is 25965752053. The reversal of 25965752040 is 4025756952.

25965752040 is a `hidden beast` number, since 2 + 59 + 6 + 575 + 20 + 4 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9676539 + ... + 9679221.

It is an arithmetic number, because the mean of its divisors is an integer number (284980410).

Almost surely, 2^25965752040 is an apocalyptic number.

25965752040 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 25965752040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45596865600).

25965752040 is an abundant number, since it is smaller than the sum of its proper divisors (65227979160).

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

25965752040 is a wasteful number, since it uses less digits than its factorization.

25965752040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2838 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 25965752040 in words is "twenty-five billion, nine hundred sixty-five million, seven hundred fifty-two thousand, forty".