22501510400 has 108 divisors (see below), whose sum is σ = 56746453932. Its totient is φ = 8830648320.

The previous prime is 22501510391. The next prime is 22501510411. The reversal of 22501510400 is 401510522.

It can be written as a sum of positive squares in 6 ways, for example, as 6310144 + 22495200256 = 2512^2 + 149984^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 306032 + ... + 372368.

It is an arithmetic number, because the mean of its divisors is an integer number (525430129).

Almost surely, 2^22501510400 is an apocalyptic number.

22501510400 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 22501510400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28373226966).

22501510400 is an abundant number, since it is smaller than the sum of its proper divisors (34244943532).

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

22501510400 is an equidigital number, since it uses as much as digits as its factorization.

22501510400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66416 (or 66397 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The spelling of 22501510400 in words is "twenty-two billion, five hundred one million, five hundred ten thousand, four hundred".