16152256512 has 504 divisors, whose sum is σ = 57688343856. Its totient is φ = 4326948864.

The previous prime is 16152256511. The next prime is 16152256513. The reversal of 16152256512 is 21565225161.

16152256512 is a `hidden beast` number, since 1 + 61 + 5 + 22 + 565 + 12 = 666.

It is an interprime number because it is at equal distance from previous prime (16152256511) and next prime (16152256513).

It is a tau number, because it is divible by the number of its divisors (504).

It is a super-2 number, since 2×16152256512² (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16152256511) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 61415293 + ... + 61415555.

Almost surely, 2^16152256512 is an apocalyptic number.

16152256512 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 16152256512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28844171928).

16152256512 is an abundant number, since it is smaller than the sum of its proper divisors (41536087344).

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

16152256512 is a wasteful number, since it uses less digits than its factorization.

16152256512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 292 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The spelling of 16152256512 in words is "sixteen billion, one hundred fifty-two million, two hundred fifty-six thousand, five hundred twelve".