22072084320 has 1152 divisors, whose sum is σ = 90811736064. Its totient is φ = 4460544000.

The previous prime is 22072084271. The next prime is 22072084337. The reversal of 22072084320 is 2348027022.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 538343500 + ... + 538343540.

It is an arithmetic number, because the mean of its divisors is an integer number (78829632).

Almost surely, 2^22072084320 is an apocalyptic number.

22072084320 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 22072084320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405868032).

22072084320 is an abundant number, since it is smaller than the sum of its proper divisors (68739651744).

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

22072084320 is a wasteful number, since it uses less digits than its factorization.

22072084320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The spelling of 22072084320 in words is "twenty-two billion, seventy-two million, eighty-four thousand, three hundred twenty".