212787993600 has 2112 divisors, whose sum is σ = 1023434496000. Its totient is φ = 42042654720.

The previous prime is 212787993569. The next prime is 212787993611. The reversal of 212787993600 is 6399787212.

212787993600 is a `hidden beast` number, since 2 + 1 + 27 + 8 + 7 + 9 + 9 + 3 + 600 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1069286301 + ... + 1069286499.

Almost surely, 2^212787993600 is an apocalyptic number.

212787993600 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 212787993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511717248000).

212787993600 is an abundant number, since it is smaller than the sum of its proper divisors (810646502400).

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

212787993600 is a wasteful number, since it uses less digits than its factorization.

212787993600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 246 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 212787993600 in words is "two hundred twelve billion, seven hundred eighty-seven million, nine hundred ninety-three thousand, six hundred".