213687573120000 has 3520 divisors, whose sum is σ = 952778213376000. Its totient is φ = 47226654720000.

The previous prime is 213687573119959. The next prime is 213687573120017. The reversal of 213687573120000 is 21375786312.

213687573120000 is a `hidden beast` number, since 2 + 1 + 3 + 68 + 7 + 573 + 12 + 0 + 0 + 0 + 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 319 ways as a sum of consecutive naturals, for example, 183738239419 + ... + 183738240581.

It is an arithmetic number, because the mean of its divisors is an integer number (270675628800).

Almost surely, 2^{213687573120000} is an apocalyptic number.

213687573120000 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 213687573120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476389106688000).

213687573120000 is an abundant number, since it is smaller than the sum of its proper divisors (739090640256000).

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

213687573120000 is an equidigital number, since it uses as much as digits as its factorization.

213687573120000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1264 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 213687573120000 in words is "two hundred thirteen trillion, six hundred eighty-seven billion, five hundred seventy-three million, one hundred twenty thousand".