25778768400 has 600 divisors, whose sum is σ = 115358193984. Its totient is φ = 5356108800.

The previous prime is 25778768399. The next prime is 25778768401. The reversal of 25778768400 is 486787752.

It is a happy number.

25778768400 is a `hidden beast` number, since 2 + 577 + 8 + 7 + 68 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (25778768399) and next prime (25778768401).

It is a tau number, because it is divible by the number of its divisors (600).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25778768401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2489634 + ... + 2499966.

Almost surely, 2^25778768400 is an apocalyptic number.

25778768400 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 25778768400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57679096992).

25778768400 is an abundant number, since it is smaller than the sum of its proper divisors (89579425584).

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

25778768400 is a wasteful number, since it uses less digits than its factorization.

25778768400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10381 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 5268480, while the sum is 54.

The spelling of 25778768400 in words is "twenty-five billion, seven hundred seventy-eight million, seven hundred sixty-eight thousand, four hundred".