25772750640 has 1280 divisors, whose sum is σ = 117859123200. Its totient is φ = 5025411072.

The previous prime is 25772750629. The next prime is 25772750657. The reversal of 25772750640 is 4605727752.

25772750640 is a `hidden beast` number, since 2 + 577 + 2 + 75 + 0 + 6 + 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 255 ways as a sum of consecutive naturals, for example, 250220829 + ... + 250220931.

It is an arithmetic number, because the mean of its divisors is an integer number (92077440).

Almost surely, 2^25772750640 is an apocalyptic number.

25772750640 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 25772750640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58929561600).

25772750640 is an abundant number, since it is smaller than the sum of its proper divisors (92086372560).

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

25772750640 is a wasteful number, since it uses less digits than its factorization.

25772750640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 219 counting only the distinct ones).

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

The spelling of 25772750640 in words is "twenty-five billion, seven hundred seventy-two million, seven hundred fifty thousand, six hundred forty".