16622817120 has 576 divisors, whose sum is σ = 71327692800. Its totient is φ = 3431337984.

The previous prime is 16622817103. The next prime is 16622817131. The reversal of 16622817120 is 2171822661.

16622817120 is a `hidden beast` number, since 1 + 6 + 622 + 8 + 1 + 7 + 1 + 20 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6157531 + ... + 6160229.

It is an arithmetic number, because the mean of its divisors is an integer number (123832800).

Almost surely, 2^16622817120 is an apocalyptic number.

16622817120 is a gapful number since it is divisible by the number (10) 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 16622817120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35663846400).

16622817120 is an abundant number, since it is smaller than the sum of its proper divisors (54704875680).

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

16622817120 is a wasteful number, since it uses less digits than its factorization.

16622817120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2787 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 16622817120 in words is "sixteen billion, six hundred twenty-two million, eight hundred seventeen thousand, one hundred twenty".