213929164800 has 1140 divisors, whose sum is σ = 881037040576. Its totient is φ = 50960793600.

The previous prime is 213929164783. The next prime is 213929164819. The reversal of 213929164800 is 8461929312.

213929164800 is a `hidden beast` number, since 2 + 139 + 29 + 16 + 480 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6900940785 + ... + 6900940815.

Almost surely, 2^213929164800 is an apocalyptic number.

213929164800 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 213929164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440518520288).

213929164800 is an abundant number, since it is smaller than the sum of its proper divisors (667107875776).

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

213929164800 is an frugal number, since it uses more digits than its factorization.

213929164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 213929164800 in words is "two hundred thirteen billion, nine hundred twenty-nine million, one hundred sixty-four thousand, eight hundred".