212835075080544 has 144 divisors (see below), whose sum is σ = 692763640208640. Its totient is φ = 60717744864000.

The previous prime is 212835075080539. The next prime is 212835075080557. The reversal of 212835075080544 is 445080570538212.

It is a happy number.

212835075080544 is a `hidden beast` number, since 2 + 1 + 2 + 8 + 3 + 507 + 5 + 0 + 80 + 54 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78772332 + ... + 81429419.

It is an arithmetic number, because the mean of its divisors is an integer number (4810858612560).

Almost surely, 2^{212835075080544} is an apocalyptic number.

212835075080544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212835075080544 is an abundant number, since it is smaller than the sum of its proper divisors (479928565128096).

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

212835075080544 is a wasteful number, since it uses less digits than its factorization.

212835075080544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160202433 (or 160202422 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 212835075080544 in words is "two hundred twelve trillion, eight hundred thirty-five billion, seventy-five million, eighty thousand, five hundred forty-four".