212356620504 has 384 divisors, whose sum is σ = 703572480000. Its totient is φ = 56483868672.

The previous prime is 212356620493. The next prime is 212356620547. The reversal of 212356620504 is 405026653212.

212356620504 is a `hidden beast` number, since 2 + 1 + 23 + 5 + 6 + 620 + 5 + 0 + 4 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 458653377 + ... + 458653839.

It is an arithmetic number, because the mean of its divisors is an integer number (1832220000).

Almost surely, 2^212356620504 is an apocalyptic number.

212356620504 is a gapful number since it is divisible by the number (24) 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 212356620504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351786240000).

212356620504 is an abundant number, since it is smaller than the sum of its proper divisors (491215859496).

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

212356620504 is a wasteful number, since it uses less digits than its factorization.

212356620504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 967 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 212356620504 in words is "two hundred twelve billion, three hundred fifty-six million, six hundred twenty thousand, five hundred four".