220023252022400 has 384 divisors, whose sum is σ = 569924222515200. Its totient is φ = 83772844277760.

The previous prime is 220023252022367. The next prime is 220023252022451. The reversal of 220023252022400 is 4220252320022.

It is a self number, because there is not a number n which added to its sum of digits gives 220023252022400.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21355255649 + ... + 21355265951.

It is an arithmetic number, because the mean of its divisors is an integer number (1484177662800).

Almost surely, 2^{220023252022400} is an apocalyptic number.

220023252022400 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 220023252022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284962111257600).

220023252022400 is an abundant number, since it is smaller than the sum of its proper divisors (349900970492800).

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

220023252022400 is a wasteful number, since it uses less digits than its factorization.

220023252022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11736 (or 11719 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 26.

The spelling of 220023252022400 in words is "two hundred twenty trillion, twenty-three billion, two hundred fifty-two million, twenty-two thousand, four hundred".