16878002400 has 864 divisors, whose sum is σ = 71885399040. Its totient is φ = 3784734720.

The previous prime is 16878002363. The next prime is 16878002419. The reversal of 16878002400 is 420087861.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 107503122 + ... + 107503278.

Almost surely, 2^16878002400 is an apocalyptic number.

16878002400 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 16878002400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35942699520).

16878002400 is an abundant number, since it is smaller than the sum of its proper divisors (55007396640).

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

16878002400 is a wasteful number, since it uses less digits than its factorization.

16878002400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 16878002400 in words is "sixteen billion, eight hundred seventy-eight million, two thousand, four hundred".