16801501680 has 160 divisors (see below), whose sum is σ = 59436225600. Its totient is φ = 4359287808.

The previous prime is 16801501657. The next prime is 16801501729. The reversal of 16801501680 is 8610510861.

16801501680 is a `hidden beast` number, since 16 + 80 + 1 + 501 + 68 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25195 + ... + 185034.

It is an arithmetic number, because the mean of its divisors is an integer number (371476410).

Almost surely, 2^16801501680 is an apocalyptic number.

16801501680 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 16801501680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29718112800).

16801501680 is an abundant number, since it is smaller than the sum of its proper divisors (42634723920).

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

16801501680 is a wasteful number, since it uses less digits than its factorization.

16801501680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210288 (or 210276 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 16801501680 in words is "sixteen billion, eight hundred one million, five hundred one thousand, six hundred eighty".