213495115890840 has 512 divisors, whose sum is σ = 811502240256000. Its totient is φ = 43849586221056.

The previous prime is 213495115890827. The next prime is 213495115890851. The reversal of 213495115890840 is 48098511594312.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15581026 + ... + 25879694.

It is an arithmetic number, because the mean of its divisors is an integer number (1584965313000).

Almost surely, 2^{213495115890840} is an apocalyptic number.

213495115890840 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 213495115890840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405751120128000).

213495115890840 is an abundant number, since it is smaller than the sum of its proper divisors (598007124365160).

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

213495115890840 is a wasteful number, since it uses less digits than its factorization.

213495115890840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10298779 (or 10298775 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 60.

The spelling of 213495115890840 in words is "two hundred thirteen trillion, four hundred ninety-five billion, one hundred fifteen million, eight hundred ninety thousand, eight hundred forty".