25933996800 has 540 divisors, whose sum is σ = 100974969480. Its totient is φ = 6549258240.

The previous prime is 25933996799. The next prime is 25933996843. The reversal of 25933996800 is 869933952.

It is a tau number, because it is divible by the number of its divisors (540).

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9848284 + ... + 9850916.

Almost surely, 2^25933996800 is an apocalyptic number.

25933996800 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 25933996800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50487484740).

25933996800 is an abundant number, since it is smaller than the sum of its proper divisors (75040972680).

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

25933996800 is a wasteful number, since it uses less digits than its factorization.

25933996800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2690 (or 2662 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 25933996800 in words is "twenty-five billion, nine hundred thirty-three million, nine hundred ninety-six thousand, eight hundred".