16687157690880 has 800 divisors, whose sum is σ = 61942795675200. Its totient is φ = 4288565772288.

The previous prime is 16687157690867. The next prime is 16687157690953. The reversal of 16687157690880 is 8809675178661.

It is a super-2 number, since 2×16687157690880² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 16687157690799 and 16687157690808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3722317119 + ... + 3722321601.

It is an arithmetic number, because the mean of its divisors is an integer number (77428494594).

Almost surely, 2^{16687157690880} is an apocalyptic number.

16687157690880 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 16687157690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30971397837600).

16687157690880 is an abundant number, since it is smaller than the sum of its proper divisors (45255637984320).

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

16687157690880 is an equidigital number, since it uses as much as digits as its factorization.

16687157690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5166 (or 5141 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 16687157690880 in words is "sixteen trillion, six hundred eighty-seven billion, one hundred fifty-seven million, six hundred ninety thousand, eight hundred eighty".