213102149747760 has 1280 divisors, whose sum is σ = 923482560000000. Its totient is φ = 44882310574080.

The previous prime is 213102149747659. The next prime is 213102149747827. The reversal of 213102149747760 is 67747941201312.

213102149747760 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 0 + 21 + 4 + 97 + 477 + 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 = 213102149747697 and 213102149747706.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 5499532866 + ... + 5499571614.

It is an arithmetic number, because the mean of its divisors is an integer number (721470750000).

Almost surely, 2^{213102149747760} is an apocalyptic number.

213102149747760 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 213102149747760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461741280000000).

213102149747760 is an abundant number, since it is smaller than the sum of its proper divisors (710380410252240).

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

213102149747760 is a wasteful number, since it uses less digits than its factorization.

213102149747760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39376 (or 39350 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 213102149747760 in words is "two hundred thirteen trillion, one hundred two billion, one hundred forty-nine million, seven hundred forty-seven thousand, seven hundred sixty".