212508316229760 has 1024 divisors, whose sum is σ = 783690754176000. Its totient is φ = 54357295104000.

The previous prime is 212508316229753. The next prime is 212508316229771. The reversal of 212508316229760 is 67922613805212.

212508316229760 is a `hidden beast` number, since 2 + 1 + 2 + 5 + 0 + 8 + 3 + 1 + 622 + 9 + 7 + 6 + 0 = 666.

It is a super-2 number, since 2×212508316229760² (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 212508316229697 and 212508316229706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 52849616550 + ... + 52849620570.

It is an arithmetic number, because the mean of its divisors is an integer number (765323002125).

Almost surely, 2^{212508316229760} is an apocalyptic number.

212508316229760 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 212508316229760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391845377088000).

212508316229760 is an abundant number, since it is smaller than the sum of its proper divisors (571182437946240).

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

212508316229760 is a wasteful number, since it uses less digits than its factorization.

212508316229760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4742 (or 4724 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 212508316229760 in words is "two hundred twelve trillion, five hundred eight billion, three hundred sixteen million, two hundred twenty-nine thousand, seven hundred sixty".