212528795520 has 128 divisors (see below), whose sum is σ = 713090160000. Its totient is φ = 53691475968.

The previous prime is 212528795509. The next prime is 212528795527. The reversal of 212528795520 is 25597825212.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 212528795520.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212528795527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2876470 + ... + 2949429.

It is an arithmetic number, because the mean of its divisors is an integer number (5571016875).

Almost surely, 2^212528795520 is an apocalyptic number.

212528795520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212528795520 is an abundant number, since it is smaller than the sum of its proper divisors (500561364480).

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

212528795520 is a wasteful number, since it uses less digits than its factorization.

212528795520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5825940 (or 5825928 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 212528795520 in words is "two hundred twelve billion, five hundred twenty-eight million, seven hundred ninety-five thousand, five hundred twenty".