16861637691360 has 1152 divisors, whose sum is σ = 74553606586368. Its totient is φ = 3496276224000.

The previous prime is 16861637691341. The next prime is 16861637691443. The reversal of 16861637691360 is 6319673616861.

16861637691360 is a `hidden beast` number, since 1 + 6 + 8 + 61 + 63 + 76 + 91 + 360 = 666.

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

It is a congruent number.

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, 1469930425 + ... + 1469941895.

It is an arithmetic number, because the mean of its divisors is an integer number (64716672384).

Almost surely, 2^{16861637691360} is an apocalyptic number.

16861637691360 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 16861637691360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37276803293184).

16861637691360 is an abundant number, since it is smaller than the sum of its proper divisors (57691968895008).

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

16861637691360 is a wasteful number, since it uses less digits than its factorization.

16861637691360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12010 (or 11990 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 16861637691360 in words is "sixteen trillion, eight hundred sixty-one billion, six hundred thirty-seven million, six hundred ninety-one thousand, three hundred sixty".