212980743360 has 1792 divisors, whose sum is σ = 1011253248000. Its totient is φ = 40874803200.

The previous prime is 212980743341. The next prime is 212980743373. The reversal of 212980743360 is 63347089212.

212980743360 is a `hidden beast` number, since 21 + 298 + 0 + 7 + 4 + 336 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 474344416 + ... + 474344864.

Almost surely, 2^212980743360 is an apocalyptic number.

212980743360 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 212980743360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505626624000).

212980743360 is an abundant number, since it is smaller than the sum of its proper divisors (798272504640).

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

212980743360 is a wasteful number, since it uses less digits than its factorization.

212980743360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 212980743360 in words is "two hundred twelve billion, nine hundred eighty million, seven hundred forty-three thousand, three hundred sixty".