213034704249960 has 448 divisors, whose sum is σ = 723972388942080. Its totient is φ = 56390158540800.

The previous prime is 213034704249937. The next prime is 213034704249967. The reversal of 213034704249960 is 69942407430312.

213034704249960 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 3 + 4 + 70 + 424 + 99 + 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 = 213034704249897 and 213034704249906.

It is not an unprimeable number, because it can be changed into a prime (213034704249967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 6019102024 + ... + 6019137416.

Almost surely, 2^{213034704249960} is an apocalyptic number.

213034704249960 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 213034704249960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361986194471040).

213034704249960 is an abundant number, since it is smaller than the sum of its proper divisors (510937684692120).

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

213034704249960 is a wasteful number, since it uses less digits than its factorization.

213034704249960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36940 (or 36921 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 54.

The spelling of 213034704249960 in words is "two hundred thirteen trillion, thirty-four billion, seven hundred four million, two hundred forty-nine thousand, nine hundred sixty".