214821735720 has 64 divisors (see below), whose sum is σ = 644508455040. Its totient is φ = 57281952000.

The previous prime is 214821735659. The next prime is 214821735761. The reversal of 214821735720 is 27537128412.

It is a happy number.

It is a super-2 number, since 2×214821735720² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2040370 + ... + 2143070.

It is an arithmetic number, because the mean of its divisors is an integer number (10070444610).

Almost surely, 2^214821735720 is an apocalyptic number.

214821735720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214821735720 is an abundant number, since it is smaller than the sum of its proper divisors (429686719320).

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

214821735720 is a wasteful number, since it uses less digits than its factorization.

214821735720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120146 (or 120142 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The spelling of 214821735720 in words is "two hundred fourteen billion, eight hundred twenty-one million, seven hundred thirty-five thousand, seven hundred twenty".