212993778240 has 672 divisors, whose sum is σ = 782463052800. Its totient is φ = 53090795520.

The previous prime is 212993778227. The next prime is 212993778307. The reversal of 212993778240 is 42877399212.

It is a happy number.

212993778240 is a `hidden beast` number, since 2 + 1 + 29 + 9 + 377 + 8 + 240 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 418455106 + ... + 418455614.

Almost surely, 2^212993778240 is an apocalyptic number.

212993778240 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 212993778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391231526400).

212993778240 is an abundant number, since it is smaller than the sum of its proper divisors (569469274560).

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

212993778240 is a wasteful number, since it uses less digits than its factorization.

212993778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 715 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 212993778240 in words is "two hundred twelve billion, nine hundred ninety-three million, seven hundred seventy-eight thousand, two hundred forty".