16879403520 has 240 divisors, whose sum is σ = 66809920320. Its totient is φ = 3858112512.

The previous prime is 16879403509. The next prime is 16879403551. The reversal of 16879403520 is 2530497861.

16879403520 is a `hidden beast` number, since 1 + 6 + 87 + 9 + 40 + 3 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108951 + ... + 213609.

It is an arithmetic number, because the mean of its divisors is an integer number (278374668).

It is a 1-persistent number, because it is pandigital, but 2⋅16879403520 = 33758807040 is not.

Almost surely, 2^16879403520 is an apocalyptic number.

16879403520 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 16879403520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33404960160).

16879403520 is an abundant number, since it is smaller than the sum of its proper divisors (49930516800).

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

16879403520 is a wasteful number, since it uses less digits than its factorization.

16879403520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104695 (or 104676 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 16879403520 in words is "sixteen billion, eight hundred seventy-nine million, four hundred three thousand, five hundred twenty".