212116390925760 has 448 divisors, whose sum is σ = 787727870515200. Its totient is φ = 53584292081664.

The previous prime is 212116390925743. The next prime is 212116390925783. The reversal of 212116390925760 is 67529093611212.

212116390925760 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 1 + 63 + 9 + 0 + 9 + 2 + 576 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 212116390925697 and 212116390925706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5182018254 + ... + 5182059186.

Almost surely, 2^{212116390925760} is an apocalyptic number.

212116390925760 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 212116390925760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393863935257600).

212116390925760 is an abundant number, since it is smaller than the sum of its proper divisors (575611479589440).

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

212116390925760 is a wasteful number, since it uses less digits than its factorization.

212116390925760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72545 (or 72529 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 212116390925760 in words is "two hundred twelve trillion, one hundred sixteen billion, three hundred ninety million, nine hundred twenty-five thousand, seven hundred sixty".