213032793600 has 2160 divisors, whose sum is σ = 947493106560. Its totient is φ = 45416448000.

The previous prime is 213032793587. The next prime is 213032793613. The reversal of 213032793600 is 6397230312.

213032793600 is a `hidden beast` number, since 2 + 13 + 0 + 32 + 7 + 9 + 3 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (213032793587) and next prime (213032793613).

It is a super-2 number, since 2×213032793600² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 6872025585 + ... + 6872025615.

It is an arithmetic number, because the mean of its divisors is an integer number (438654216).

Almost surely, 2^213032793600 is an apocalyptic number.

213032793600 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 213032793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473746553280).

213032793600 is an abundant number, since it is smaller than the sum of its proper divisors (734460312960).

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

213032793600 is a wasteful number, since it uses less digits than its factorization.

213032793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The spelling of 213032793600 in words is "two hundred thirteen billion, thirty-two million, seven hundred ninety-three thousand, six hundred".