16938420096 has 256 divisors, whose sum is σ = 50101208640. Its totient is φ = 5037686784.

The previous prime is 16938420089. The next prime is 16938420097. The reversal of 16938420096 is 69002483961.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16938420097) 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, 19313610 + ... + 19314486.

Almost surely, 2^16938420096 is an apocalyptic number.

16938420096 is a gapful number since it is divisible by the number (16) 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 16938420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25050604320).

16938420096 is an abundant number, since it is smaller than the sum of its proper divisors (33162788544).

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

16938420096 is a wasteful number, since it uses less digits than its factorization.

16938420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1033 (or 1021 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 16938420096 in words is "sixteen billion, nine hundred thirty-eight million, four hundred twenty thousand, ninety-six".