25757072640 has 864 divisors, whose sum is σ = 103817016576. Its totient is φ = 5839257600.

The previous prime is 25757072609. The next prime is 25757072669. The reversal of 25757072640 is 4627075752.

25757072640 is a `hidden beast` number, since 2 + 5 + 7 + 570 + 72 + 6 + 4 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 170576565 + ... + 170576715.

It is an arithmetic number, because the mean of its divisors is an integer number (120158584).

Almost surely, 2^25757072640 is an apocalyptic number.

25757072640 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 25757072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51908508288).

25757072640 is an abundant number, since it is smaller than the sum of its proper divisors (78059943936).

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

25757072640 is a wasteful number, since it uses less digits than its factorization.

25757072640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The spelling of 25757072640 in words is "twenty-five billion, seven hundred fifty-seven million, seventy-two thousand, six hundred forty".