22024689113280 has 896 divisors, whose sum is σ = 85760658966528. Its totient is φ = 4674338684928.

The previous prime is 22024689113279. The next prime is 22024689113291. The reversal of 22024689113280 is 8231198642022.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9605183814 + ... + 9605186106.

It is an arithmetic number, because the mean of its divisors is an integer number (95715021168).

Almost surely, 2^{22024689113280} is an apocalyptic number.

22024689113280 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 22024689113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42880329483264).

22024689113280 is an abundant number, since it is smaller than the sum of its proper divisors (63735969853248).

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

22024689113280 is a wasteful number, since it uses less digits than its factorization.

22024689113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3433 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 22024689113280 in words is "twenty-two trillion, twenty-four billion, six hundred eighty-nine million, one hundred thirteen thousand, two hundred eighty".