16161240762576 has 2560 divisors, whose sum is σ = 64290445148160. Its totient is φ = 3815012597760.

The previous prime is 16161240762571. The next prime is 16161240762613. The reversal of 16161240762576 is 67526704216161.

16161240762576 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 1 + 2 + 4 + 0 + 7 + 62 + 576 = 666.

It is a super-2 number, since 2×16161240762576² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16161240762571) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 123368250031 + ... + 123368250161.

It is an arithmetic number, because the mean of its divisors is an integer number (25113455136).

Almost surely, 2^{16161240762576} is an apocalyptic number.

16161240762576 is a gapful number since it is divisible by the number (16) 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 16161240762576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32145222574080).

16161240762576 is an abundant number, since it is smaller than the sum of its proper divisors (48129204385584).

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

16161240762576 is a wasteful number, since it uses less digits than its factorization.

16161240762576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 16161240762576 in words is "sixteen trillion, one hundred sixty-one billion, two hundred forty million, seven hundred sixty-two thousand, five hundred seventy-six".