212652864000 has 1600 divisors, whose sum is σ = 889811619840. Its totient is φ = 50164531200.

The previous prime is 212652863993. The next prime is 212652864013. The reversal of 212652864000 is 468256212.

It is a happy number.

212652864000 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 5 + 2 + 8 + 640 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1674431937 + ... + 1674432063.

Almost surely, 2^212652864000 is an apocalyptic number.

212652864000 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 212652864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444905809920).

212652864000 is an abundant number, since it is smaller than the sum of its proper divisors (677158755840).

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

212652864000 is a wasteful number, since it uses less digits than its factorization.

212652864000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 212652864000 in words is "two hundred twelve billion, six hundred fifty-two million, eight hundred sixty-four thousand".