212088757320 has 448 divisors, whose sum is σ = 799601725440. Its totient is φ = 50158310400.

The previous prime is 212088757319. The next prime is 212088757343. The reversal of 212088757320 is 23757880212.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13143097 + ... + 13159223.

It is an arithmetic number, because the mean of its divisors is an integer number (1784825280).

Almost surely, 2^212088757320 is an apocalyptic number.

212088757320 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 212088757320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399800862720).

212088757320 is an abundant number, since it is smaller than the sum of its proper divisors (587512968120).

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

212088757320 is a wasteful number, since it uses less digits than its factorization.

212088757320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16208 (or 16189 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 212088757320 in words is "two hundred twelve billion, eighty-eight million, seven hundred fifty-seven thousand, three hundred twenty".