25977888000 has 576 divisors, whose sum is σ = 97113219840. Its totient is φ = 6838272000.

The previous prime is 25977887981. The next prime is 25977888007. The reversal of 25977888000 is 88877952.

It is a tau number, because it is divible by the number of its divisors (576).

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 (25977888007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 92447860 + ... + 92448140.

It is an arithmetic number, because the mean of its divisors is an integer number (168599340).

Almost surely, 2^25977888000 is an apocalyptic number.

25977888000 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 25977888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48556609920).

25977888000 is an abundant number, since it is smaller than the sum of its proper divisors (71135331840).

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

25977888000 is a wasteful number, since it uses less digits than its factorization.

25977888000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 428 (or 398 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 25977888000 in words is "twenty-five billion, nine hundred seventy-seven million, eight hundred eighty-eight thousand".