25386879098880 has 1680 divisors, whose sum is σ = 103780889435520. Its totient is φ = 5917694754816.

The previous prime is 25386879098809. The next prime is 25386879098887. The reversal of 25386879098880 is 8889097868352.

25386879098880 is a `hidden beast` number, since 2 + 5 + 386 + 8 + 79 + 0 + 98 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a self number, because there is not a number n which added to its sum of digits gives 25386879098880.

It is not an unprimeable number, because it can be changed into a prime (25386879098887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 10653326169 + ... + 10653328551.

Almost surely, 2^{25386879098880} is an apocalyptic number.

25386879098880 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 25386879098880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51890444717760).

25386879098880 is an abundant number, since it is smaller than the sum of its proper divisors (78394010336640).

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

25386879098880 is a wasteful number, since it uses less digits than its factorization.

25386879098880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2425 counting only the distinct ones).

The product of its (nonzero) digits is 3344302080, while the sum is 81.

The spelling of 25386879098880 in words is "twenty-five trillion, three hundred eighty-six billion, eight hundred seventy-nine million, ninety-eight thousand, eight hundred eighty".