213567083136000 has 5280 divisors, whose sum is σ = 927981847368576. Its totient is φ = 48743202816000.

The previous prime is 213567083135977. The next prime is 213567083136019. The reversal of 213567083136000 is 631380765312.

213567083136000 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 6 + 7 + 0 + 8 + 31 + 3 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

It is a super-2 number, since 2×213567083136000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1995954047947 + ... + 1995954048053.

Almost surely, 2^{213567083136000} is an apocalyptic number.

213567083136000 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 213567083136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463990923684288).

213567083136000 is an abundant number, since it is smaller than the sum of its proper divisors (714414764232576).

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

213567083136000 is a wasteful number, since it uses less digits than its factorization.

213567083136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 213567083136000 in words is "two hundred thirteen trillion, five hundred sixty-seven billion, eighty-three million, one hundred thirty-six thousand".