212764241520 has 60 divisors (see below), whose sum is σ = 714533246856. Its totient is φ = 56737130880.

The previous prime is 212764241519. The next prime is 212764241539. The reversal of 212764241520 is 25142467212.

212764241520 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 642 + 4 + 1 + 5 + 2 + 0 = 666.

212764241520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 147752226 + ... + 147753665.

Almost surely, 2^212764241520 is an apocalyptic number.

212764241520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212764241520 is an abundant number, since it is smaller than the sum of its proper divisors (501769005336).

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

212764241520 is a wasteful number, since it uses less digits than its factorization.

212764241520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295505910 (or 295505901 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 212764241520 in words is "two hundred twelve billion, seven hundred sixty-four million, two hundred forty-one thousand, five hundred twenty".