21878116200 has 864 divisors, whose sum is σ = 85124239200. Its totient is φ = 5212408320.

The previous prime is 21878116193. The next prime is 21878116207. The reversal of 21878116200 is 261187812.

21878116200 is a `hidden beast` number, since 2 + 18 + 7 + 8 + 11 + 620 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21878116193) and next prime (21878116207).

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

It is not an unprimeable number, because it can be changed into a prime (21878116207) by changing a digit.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 508793379 + ... + 508793421.

It is an arithmetic number, because the mean of its divisors is an integer number (98523425).

Almost surely, 2^21878116200 is an apocalyptic number.

21878116200 is a gapful number since it is divisible by the number (20) 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 21878116200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42562119600).

21878116200 is an abundant number, since it is smaller than the sum of its proper divisors (63246123000).

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

21878116200 is a wasteful number, since it uses less digits than its factorization.

21878116200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 36.

The spelling of 21878116200 in words is "twenty-one billion, eight hundred seventy-eight million, one hundred sixteen thousand, two hundred".