25424642880 has 672 divisors, whose sum is σ = 111648386304. Its totient is φ = 5362827264.

The previous prime is 25424642861. The next prime is 25424642891. The reversal of 25424642880 is 8824642452.

25424642880 is a `hidden beast` number, since 2 + 542 + 4 + 6 + 4 + 28 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 7074364 + ... + 7077956.

It is an arithmetic number, because the mean of its divisors is an integer number (166143432).

Almost surely, 2^25424642880 is an apocalyptic number.

25424642880 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 25424642880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55824193152).

25424642880 is an abundant number, since it is smaller than the sum of its proper divisors (86223743424).

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

25424642880 is a wasteful number, since it uses less digits than its factorization.

25424642880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3645 (or 3623 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 45.

The spelling of 25424642880 in words is "twenty-five billion, four hundred twenty-four million, six hundred forty-two thousand, eight hundred eighty".