25772567634 has 128 divisors (see below), whose sum is σ = 65662248960. Its totient is φ = 7421803200.

The previous prime is 25772567603. The next prime is 25772567687. The reversal of 25772567634 is 43676527752.

It is a happy number.

25772567634 is a `hidden beast` number, since 2 + 5 + 7 + 72 + 567 + 6 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 931419 + ... + 958689.

It is an arithmetic number, because the mean of its divisors is an integer number (512986320).

Almost surely, 2^25772567634 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25772567634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32831124480).

25772567634 is an abundant number, since it is smaller than the sum of its proper divisors (39889681326).

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

25772567634 is a wasteful number, since it uses less digits than its factorization.

25772567634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27373 (or 27367 counting only the distinct ones).

The product of its digits is 14817600, while the sum is 54.

The spelling of 25772567634 in words is "twenty-five billion, seven hundred seventy-two million, five hundred sixty-seven thousand, six hundred thirty-four".