25356427680 has 192 divisors, whose sum is σ = 82618195968. Its totient is φ = 6530196480.

The previous prime is 25356427643. The next prime is 25356427721. The reversal of 25356427680 is 8672465352.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8733109 + ... + 8736011.

It is an arithmetic number, because the mean of its divisors is an integer number (430303104).

Almost surely, 2^25356427680 is an apocalyptic number.

25356427680 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 25356427680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41309097984).

25356427680 is an abundant number, since it is smaller than the sum of its proper divisors (57261768288).

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

25356427680 is a wasteful number, since it uses less digits than its factorization.

25356427680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3539 (or 3531 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 25356427680 in words is "twenty-five billion, three hundred fifty-six million, four hundred twenty-seven thousand, six hundred eighty".