25220350080 has 768 divisors, whose sum is σ = 97469568000. Its totient is φ = 6155550720.

The previous prime is 25220350079. The next prime is 25220350097. The reversal of 25220350080 is 8005302252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283374676 + ... + 283374764.

It is an arithmetic number, because the mean of its divisors is an integer number (126913500).

Almost surely, 2^25220350080 is an apocalyptic number.

25220350080 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 25220350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48734784000).

25220350080 is an abundant number, since it is smaller than the sum of its proper divisors (72249217920).

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

25220350080 is a wasteful number, since it uses less digits than its factorization.

25220350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The spelling of 25220350080 in words is "twenty-five billion, two hundred twenty million, three hundred fifty thousand, eighty".