213096917445840 has 160 divisors (see below), whose sum is σ = 734006559264000. Its totient is φ = 56825375040000.

The previous prime is 213096917445781. The next prime is 213096917445857. The reversal of 213096917445840 is 48544719690312.

213096917445840 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 9 + 6 + 9 + 1 + 7 + 44 + 584 + 0 = 666.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 318912090 + ... + 319579590.

It is an arithmetic number, because the mean of its divisors is an integer number (4587540995400).

It is a 1-persistent number, because it is pandigital, but 2⋅213096917445840 = 426193834891680 is not.

Almost surely, 2^{213096917445840} is an apocalyptic number.

213096917445840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213096917445840 is an abundant number, since it is smaller than the sum of its proper divisors (520909641818160).

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

213096917445840 is a wasteful number, since it uses less digits than its factorization.

213096917445840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815322 (or 815310 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 213096917445840 in words is "two hundred thirteen trillion, ninety-six billion, nine hundred seventeen million, four hundred forty-five thousand, eight hundred forty".