16162028064 has 768 divisors, whose sum is σ = 63221760000. Its totient is φ = 3896709120.

The previous prime is 16162028023. The next prime is 16162028089. The reversal of 16162028064 is 46082026161.

16162028064 is a `hidden beast` number, since 1 + 6 + 1 + 620 + 28 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×16162028064² (a number of 21 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 46309362 + ... + 46309710.

It is an arithmetic number, because the mean of its divisors is an integer number (82320000).

Almost surely, 2^16162028064 is an apocalyptic number.

16162028064 is a gapful number since it is divisible by the number (14) 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 16162028064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31610880000).

16162028064 is an abundant number, since it is smaller than the sum of its proper divisors (47059731936).

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

16162028064 is a wasteful number, since it uses less digits than its factorization.

16162028064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 16162028064 in words is "sixteen billion, one hundred sixty-two million, twenty-eight thousand, sixty-four".