212115506306640 has 640 divisors, whose sum is σ = 731156402995200. Its totient is φ = 50597080596480.

The previous prime is 212115506306581. The next prime is 212115506306647. The reversal of 212115506306640 is 46603605511212.

It is a super-2 number, since 2×212115506306640² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 212115506306592 and 212115506306601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212115506306647) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16650869391 + ... + 16650882129.

It is an arithmetic number, because the mean of its divisors is an integer number (1142431879680).

Almost surely, 2^{212115506306640} is an apocalyptic number.

212115506306640 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 212115506306640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365578201497600).

212115506306640 is an abundant number, since it is smaller than the sum of its proper divisors (519040896688560).

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

212115506306640 is a wasteful number, since it uses less digits than its factorization.

212115506306640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13915 (or 13909 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 212115506306640 in words is "two hundred twelve trillion, one hundred fifteen billion, five hundred six million, three hundred six thousand, six hundred forty".