16938263160 has 960 divisors, whose sum is σ = 74040674400. Its totient is φ = 3438360576.

The previous prime is 16938263143. The next prime is 16938263179. The reversal of 16938263160 is 6136283961.

16938263160 is a `hidden beast` number, since 1 + 6 + 9 + 3 + 8 + 2 + 631 + 6 + 0 = 666.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 59852379 + ... + 59852661.

Almost surely, 2^16938263160 is an apocalyptic number.

16938263160 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 16938263160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37020337200).

16938263160 is an abundant number, since it is smaller than the sum of its proper divisors (57102411240).

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

16938263160 is a wasteful number, since it uses less digits than its factorization.

16938263160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 16938263160 in words is "sixteen billion, nine hundred thirty-eight million, two hundred sixty-three thousand, one hundred sixty".