25838792640 has 504 divisors, whose sum is σ = 95505251712. Its totient is φ = 6651279360.

The previous prime is 25838792627. The next prime is 25838792753. The reversal of 25838792640 is 4629783852.

25838792640 is a `hidden beast` number, since 258 + 387 + 9 + 2 + 6 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65084922 + ... + 65085318.

Almost surely, 2^25838792640 is an apocalyptic number.

25838792640 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 25838792640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47752625856).

25838792640 is an abundant number, since it is smaller than the sum of its proper divisors (69666459072).

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

25838792640 is an frugal number, since it uses more digits than its factorization.

25838792640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 25838792640 in words is "twenty-five billion, eight hundred thirty-eight million, seven hundred ninety-two thousand, six hundred forty".