212713657578000 has 2240 divisors, whose sum is σ = 834880936581120. Its totient is φ = 52220101248000.

The previous prime is 212713657577959. The next prime is 212713657578017. The reversal of 212713657578000 is 875756317212.

212713657578000 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 1 + 3 + 65 + 7 + 578 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 337105637685 + ... + 337105638315.

Almost surely, 2^{212713657578000} is an apocalyptic number.

212713657578000 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 212713657578000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (417440468290560).

212713657578000 is an abundant number, since it is smaller than the sum of its proper divisors (622167279003120).

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

212713657578000 is a wasteful number, since it uses less digits than its factorization.

212713657578000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 986 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 212713657578000 in words is "two hundred twelve trillion, seven hundred thirteen billion, six hundred fifty-seven million, five hundred seventy-eight thousand".