22512082644480 has 1280 divisors, whose sum is σ = 86155571690496. Its totient is φ = 4942772305920.

The previous prime is 22512082644437. The next prime is 22512082644547. The reversal of 22512082644480 is 8444628021522.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

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, 18198934422 + ... + 18198935658.

Almost surely, 2^{22512082644480} is an apocalyptic number.

22512082644480 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 22512082644480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43077785845248).

22512082644480 is an abundant number, since it is smaller than the sum of its proper divisors (63643489046016).

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

22512082644480 is a wasteful number, since it uses less digits than its factorization.

22512082644480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1571 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 22512082644480 in words is "twenty-two trillion, five hundred twelve billion, eighty-two million, six hundred forty-four thousand, four hundred eighty".