21470188320 has 768 divisors, whose sum is σ = 91194163200. Its totient is φ = 4613345280.

The previous prime is 21470188291. The next prime is 21470188343. The reversal of 21470188320 is 2388107412.

21470188320 is a `hidden beast` number, since 2 + 1 + 470 + 188 + 3 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 34684971 + ... + 34685589.

It is an arithmetic number, because the mean of its divisors is an integer number (118742400).

Almost surely, 2^21470188320 is an apocalyptic number.

21470188320 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 21470188320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45597081600).

21470188320 is an abundant number, since it is smaller than the sum of its proper divisors (69723974880).

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

21470188320 is a wasteful number, since it uses less digits than its factorization.

21470188320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 704 counting only the distinct ones).

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

The spelling of 21470188320 in words is "twenty-one billion, four hundred seventy million, one hundred eighty-eight thousand, three hundred twenty".