22133516328000 has 4480 divisors, whose sum is σ = 110539015741440. Its totient is φ = 4232632320000.

The previous prime is 22133516327999. The next prime is 22133516328013. The reversal of 22133516328000 is 82361533122.

22133516328000 is a `hidden beast` number, since 2 + 2 + 1 + 33 + 516 + 32 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 639 ways as a sum of consecutive naturals, for example, 35076887685 + ... + 35076888315.

Almost surely, 2^{22133516328000} is an apocalyptic number.

22133516328000 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 22133516328000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55269507870720).

22133516328000 is an abundant number, since it is smaller than the sum of its proper divisors (88405499413440).

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

22133516328000 is a wasteful number, since it uses less digits than its factorization.

22133516328000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 22133516328000 in words is "twenty-two trillion, one hundred thirty-three billion, five hundred sixteen million, three hundred twenty-eight thousand".