16938533280 has 96 divisors (see below), whose sum is σ = 53454752064. Its totient is φ = 4508614656.

The previous prime is 16938533257. The next prime is 16938533291. The reversal of 16938533280 is 8233583961.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 230304 + ... + 294816.

It is an arithmetic number, because the mean of its divisors is an integer number (556820334).

Almost surely, 2^16938533280 is an apocalyptic number.

16938533280 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 16938533280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26727376032).

16938533280 is an abundant number, since it is smaller than the sum of its proper divisors (36516218784).

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

16938533280 is a wasteful number, since it uses less digits than its factorization.

16938533280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65078 (or 65070 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 16938533280 in words is "sixteen billion, nine hundred thirty-eight million, five hundred thirty-three thousand, two hundred eighty".