16162593552 has 400 divisors, whose sum is σ = 55238726400. Its totient is φ = 4560095232.

The previous prime is 16162593547. The next prime is 16162593661. The reversal of 16162593552 is 25539526161.

16162593552 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 2 + 5 + 93 + 552 = 666.

16162593552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×16162593552² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 16162593498 and 16162593507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 45786208 + ... + 45786560.

It is an arithmetic number, because the mean of its divisors is an integer number (138096816).

Almost surely, 2^16162593552 is an apocalyptic number.

16162593552 is a gapful number since it is divisible by the number (12) 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 16162593552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27619363200).

16162593552 is an abundant number, since it is smaller than the sum of its proper divisors (39076132848).

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

16162593552 is a wasteful number, since it uses less digits than its factorization.

16162593552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 468 counting only the distinct ones).

The product of its digits is 486000, while the sum is 45.

The spelling of 16162593552 in words is "sixteen billion, one hundred sixty-two million, five hundred ninety-three thousand, five hundred fifty-two".