25763020800 has 384 divisors, whose sum is σ = 93030340320. Its totient is φ = 6239027200.

The previous prime is 25763020781. The next prime is 25763020831. The reversal of 25763020800 is 802036752.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 27033124 + ... + 27034076.

Almost surely, 2^25763020800 is an apocalyptic number.

25763020800 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 25763020800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46515170160).

25763020800 is an abundant number, since it is smaller than the sum of its proper divisors (67267319520).

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

25763020800 is an equidigital number, since it uses as much as digits as its factorization.

25763020800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1007 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 25763020800 in words is "twenty-five billion, seven hundred sixty-three million, twenty thousand, eight hundred".