212970050496 has 896 divisors, whose sum is σ = 762185318400. Its totient is φ = 57062154240.

The previous prime is 212970050477. The next prime is 212970050549. The reversal of 212970050496 is 694050079212.

212970050496 is a `hidden beast` number, since 21 + 2 + 97 + 0 + 0 + 50 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2695823385 + ... + 2695823463.

Almost surely, 2^212970050496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212970050496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381092659200).

212970050496 is an abundant number, since it is smaller than the sum of its proper divisors (549215267904).

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

212970050496 is a wasteful number, since it uses less digits than its factorization.

212970050496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 212970050496 in words is "two hundred twelve billion, nine hundred seventy million, fifty thousand, four hundred ninety-six".