21870810000 has 1000 divisors, whose sum is σ = 89245232384. Its totient is φ = 5132160000.

The previous prime is 21870809999. The next prime is 21870810007. The reversal of 21870810000 is 1807812.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a super-2 number, since 2×21870810000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21870810007) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 326429967 + ... + 326430033.

Almost surely, 2^21870810000 is an apocalyptic number.

21870810000 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 21870810000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44622616192).

21870810000 is an abundant number, since it is smaller than the sum of its proper divisors (67374422384).

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

21870810000 is a wasteful number, since it uses less digits than its factorization.

21870810000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 27.

The spelling of 21870810000 in words is "twenty-one billion, eight hundred seventy million, eight hundred ten thousand".