25933112640 has 168 divisors, whose sum is σ = 89258607360. Its totient is φ = 6910884864.

The previous prime is 25933112609. The next prime is 25933112659. The reversal of 25933112640 is 4621133952.

25933112640 is a `hidden beast` number, since 2 + 5 + 9 + 3 + 3 + 1 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 25933112595 and 25933112604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8313001 + ... + 8316119.

Almost surely, 2^25933112640 is an apocalyptic number.

25933112640 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 25933112640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44629303680).

25933112640 is an abundant number, since it is smaller than the sum of its proper divisors (63325494720).

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

25933112640 is a wasteful number, since it uses less digits than its factorization.

25933112640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6029 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 25933112640 in words is "twenty-five billion, nine hundred thirty-three million, one hundred twelve thousand, six hundred forty".