25426520248320 has 416 divisors, whose sum is σ = 90424551052800. Its totient is φ = 6778141802496.

The previous prime is 25426520248313. The next prime is 25426520248351. The reversal of 25426520248320 is 2384202562452.

25426520248320 is a `hidden beast` number, since 2 + 5 + 4 + 2 + 6 + 520 + 24 + 83 + 20 = 666.

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

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2255518204 + ... + 2255529476.

Almost surely, 2^{25426520248320} is an apocalyptic number.

25426520248320 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 25426520248320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45212275526400).

25426520248320 is an abundant number, since it is smaller than the sum of its proper divisors (64998030804480).

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

25426520248320 is a wasteful number, since it uses less digits than its factorization.

25426520248320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15390 (or 15362 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 25426520248320 in words is "twenty-five trillion, four hundred twenty-six billion, five hundred twenty million, two hundred forty-eight thousand, three hundred twenty".