16801620960 has 192 divisors, whose sum is σ = 57632601600. Its totient is φ = 4098189312.

The previous prime is 16801620937. The next prime is 16801620967. The reversal of 16801620960 is 6902610861.

It is a super-2 number, since 2×16801620960² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16801620967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 232717 + ... + 296243.

It is an arithmetic number, because the mean of its divisors is an integer number (300169800).

Almost surely, 2^16801620960 is an apocalyptic number.

16801620960 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 16801620960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28816300800).

16801620960 is an abundant number, since it is smaller than the sum of its proper divisors (40830980640).

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

16801620960 is a wasteful number, since it uses less digits than its factorization.

16801620960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63593 (or 63585 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

The spelling of 16801620960 in words is "sixteen billion, eight hundred one million, six hundred twenty thousand, nine hundred sixty".