213036094625640 has 512 divisors, whose sum is σ = 754038831974400. Its totient is φ = 47469724323840.

The previous prime is 213036094625579. The next prime is 213036094625657. The reversal of 213036094625640 is 46526490630312.

It is a super-2 number, since 2×213036094625640² (a number of 29 digits) contains 22 as substring.

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 127 ways as a sum of consecutive naturals, for example, 4400366074 + ... + 4400414486.

It is an arithmetic number, because the mean of its divisors is an integer number (1472732093700).

Almost surely, 2^{213036094625640} is an apocalyptic number.

213036094625640 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 213036094625640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377019415987200).

213036094625640 is an abundant number, since it is smaller than the sum of its proper divisors (541002737348760).

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

213036094625640 is a wasteful number, since it uses less digits than its factorization.

213036094625640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49537 (or 49533 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 213036094625640 in words is "two hundred thirteen trillion, thirty-six billion, ninety-four million, six hundred twenty-five thousand, six hundred forty".