16085177855488 has 640 divisors, whose sum is σ = 39115759288320. Its totient is φ = 6467044147200.

The previous prime is 16085177855473. The next prime is 16085177855489. The reversal of 16085177855488 is 88455877158061.

16085177855488 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 2×16085177855488² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 16085177855488.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16085177855489) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 126654943681 + ... + 126654943807.

It is an arithmetic number, because the mean of its divisors is an integer number (61118373888).

Almost surely, 2^{16085177855488} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16085177855488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19557879644160).

16085177855488 is an abundant number, since it is smaller than the sum of its proper divisors (23030581432832).

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

16085177855488 is a wasteful number, since it uses less digits than its factorization.

16085177855488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 602112000, while the sum is 73.

The spelling of 16085177855488 in words is "sixteen trillion, eighty-five billion, one hundred seventy-seven million, eight hundred fifty-five thousand, four hundred eighty-eight".