22610248098900 has 576 divisors, whose sum is σ = 85572709662720. Its totient is φ = 4472133120000.

The previous prime is 22610248098899. The next prime is 22610248098929. The reversal of 22610248098900 is 989084201622.

It is a super-2 number, since 2×22610248098900² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43423296 + ... + 43940904.

Almost surely, 2^{22610248098900} is an apocalyptic number.

22610248098900 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 22610248098900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42786354831360).

22610248098900 is an abundant number, since it is smaller than the sum of its proper divisors (62962461563820).

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

22610248098900 is a wasteful number, since it uses less digits than its factorization.

22610248098900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 517736 (or 517729 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 51.

The spelling of 22610248098900 in words is "twenty-two trillion, six hundred ten billion, two hundred forty-eight million, ninety-eight thousand, nine hundred".