16803877440 has 224 divisors, whose sum is σ = 61516442880. Its totient is φ = 3806724096.

The previous prime is 16803877403. The next prime is 16803877451. The reversal of 16803877440 is 4477830861.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 16803877440.

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, 748296 + ... + 770424.

Almost surely, 2^16803877440 is an apocalyptic number.

16803877440 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 16803877440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758221440).

16803877440 is an abundant number, since it is smaller than the sum of its proper divisors (44712565440).

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

16803877440 is a wasteful number, since it uses less digits than its factorization.

16803877440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22269 (or 22259 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 48.

The spelling of 16803877440 in words is "sixteen billion, eight hundred three million, eight hundred seventy-seven thousand, four hundred forty".