213971563008 has 240 divisors, whose sum is σ = 736780476960. Its totient is φ = 61134538752.

The previous prime is 213971562979. The next prime is 213971563021. The reversal of 213971563008 is 800365179312.

213971563008 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 7 + 1 + 5 + 630 + 0 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 519435 + ... + 835317.

It is an arithmetic number, because the mean of its divisors is an integer number (3069918654).

Almost surely, 2^213971563008 is an apocalyptic number.

213971563008 is a gapful number since it is divisible by the number (28) 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 213971563008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368390238480).

213971563008 is an abundant number, since it is smaller than the sum of its proper divisors (522808913952).

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

213971563008 is an equidigital number, since it uses as much as digits as its factorization.

213971563008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315924 (or 315895 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 213971563008 in words is "two hundred thirteen billion, nine hundred seventy-one million, five hundred sixty-three thousand, eight".