213706321920 has 1664 divisors, whose sum is σ = 972288737280. Its totient is φ = 43316674560.

The previous prime is 213706321919. The next prime is 213706322029. The reversal of 213706321920 is 29123607312.

213706321920 is a `hidden beast` number, since 2 + 1 + 3 + 7 + 0 + 632 + 19 + 2 + 0 = 666.

213706321920 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 1559900092 + ... + 1559900228.

Almost surely, 2^213706321920 is an apocalyptic number.

213706321920 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 213706321920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (486144368640).

213706321920 is an abundant number, since it is smaller than the sum of its proper divisors (758582415360).

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

213706321920 is a wasteful number, since it uses less digits than its factorization.

213706321920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 213706321920 in words is "two hundred thirteen billion, seven hundred six million, three hundred twenty-one thousand, nine hundred twenty".