212538402720 has 288 divisors, whose sum is σ = 831740337792. Its totient is φ = 48413730816.

The previous prime is 212538402719. The next prime is 212538402787. The reversal of 212538402720 is 27204835212.

212538402720 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 384 + 0 + 272 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2917459 + ... + 2989421.

It is an arithmetic number, because the mean of its divisors is an integer number (2887987284).

Almost surely, 2^212538402720 is an apocalyptic number.

212538402720 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 212538402720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415870168896).

212538402720 is an abundant number, since it is smaller than the sum of its proper divisors (619201935072).

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

212538402720 is a wasteful number, since it uses less digits than its factorization.

212538402720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72284 (or 72273 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 212538402720 in words is "two hundred twelve billion, five hundred thirty-eight million, four hundred two thousand, seven hundred twenty".