16155290677680 has 960 divisors, whose sum is σ = 71251411046400. Its totient is φ = 3178079815680.

The previous prime is 16155290677679. The next prime is 16155290677711. The reversal of 16155290677680 is 8677609255161.

16155290677680 is a `hidden beast` number, since 1 + 6 + 1 + 552 + 9 + 0 + 6 + 7 + 76 + 8 + 0 = 666.

16155290677680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1840215531 + ... + 1840224309.

It is an arithmetic number, because the mean of its divisors is an integer number (74220219840).

Almost surely, 2^{16155290677680} is an apocalyptic number.

16155290677680 is a gapful number since it is divisible by the number (10) 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 16155290677680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35625705523200).

16155290677680 is an abundant number, since it is smaller than the sum of its proper divisors (55096120368720).

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

16155290677680 is a wasteful number, since it uses less digits than its factorization.

16155290677680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10582 (or 10573 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 63.

The spelling of 16155290677680 in words is "sixteen trillion, one hundred fifty-five billion, two hundred ninety million, six hundred seventy-seven thousand, six hundred eighty".