212753320740 has 288 divisors, whose sum is σ = 733707797760. Its totient is φ = 51074445312.

The previous prime is 212753320727. The next prime is 212753320783. The reversal of 212753320740 is 47023357212.

212753320740 is a `hidden beast` number, since 21 + 275 + 3 + 320 + 7 + 40 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 212753320695 and 212753320704.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3559744 + ... + 3619016.

It is an arithmetic number, because the mean of its divisors is an integer number (2547596520).

Almost surely, 2^212753320740 is an apocalyptic number.

212753320740 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 212753320740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366853898880).

212753320740 is an abundant number, since it is smaller than the sum of its proper divisors (520954477020).

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

212753320740 is a wasteful number, since it uses less digits than its factorization.

212753320740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59348 (or 59323 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

Adding to 212753320740 its reverse (47023357212), we get a palindrome (259776677952).

The spelling of 212753320740 in words is "two hundred twelve billion, seven hundred fifty-three million, three hundred twenty thousand, seven hundred forty".