22013029700880 has 320 divisors, whose sum is σ = 70121523363840. Its totient is φ = 5710482892800.

The previous prime is 22013029700819. The next prime is 22013029700953. The reversal of 22013029700880 is 8800792031022.

It is a happy number.

It is a super-2 number, since 2×22013029700880² (a number of 27 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 2364191425 + ... + 2364200735.

It is an arithmetic number, because the mean of its divisors is an integer number (219129760512).

Almost surely, 2^{22013029700880} is an apocalyptic number.

22013029700880 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 22013029700880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35060761681920).

22013029700880 is an abundant number, since it is smaller than the sum of its proper divisors (48108493662960).

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

22013029700880 is a wasteful number, since it uses less digits than its factorization.

22013029700880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11110 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 22013029700880 in words is "twenty-two trillion, thirteen billion, twenty-nine million, seven hundred thousand, eight hundred eighty".