212417880653160 has 3072 divisors, whose sum is σ = 919468827648000. Its totient is φ = 43218973163520.

The previous prime is 212417880652987. The next prime is 212417880653161. The reversal of 212417880653160 is 61356088714212.

It is a happy number.

212417880653160 is a `hidden beast` number, since 2 + 1 + 2 + 41 + 7 + 8 + 8 + 0 + 6 + 531 + 60 = 666.

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 = 212417880653097 and 212417880653106.

It is not an unprimeable number, because it can be changed into a prime (212417880653161) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 506963915431 + ... + 506963915849.

It is an arithmetic number, because the mean of its divisors is an integer number (299306259000).

Almost surely, 2^{212417880653160} is an apocalyptic number.

212417880653160 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 212417880653160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459734413824000).

212417880653160 is an abundant number, since it is smaller than the sum of its proper divisors (707050946994840).

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

212417880653160 is a wasteful number, since it uses less digits than its factorization.

212417880653160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 212417880653160 in words is "two hundred twelve trillion, four hundred seventeen billion, eight hundred eighty million, six hundred fifty-three thousand, one hundred sixty".