213179887851840 has 2688 divisors, whose sum is σ = 965616126289920. Its totient is φ = 43864311988224.

The previous prime is 213179887851811. The next prime is 213179887851851. The reversal of 213179887851840 is 48158788971312.

213179887851840 is a `hidden beast` number, since 2 + 1 + 3 + 17 + 98 + 8 + 7 + 8 + 518 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 383 ways as a sum of consecutive naturals, for example, 80964635164 + ... + 80964637796.

It is an arithmetic number, because the mean of its divisors is an integer number (359232189840).

Almost surely, 2^{213179887851840} is an apocalyptic number.

213179887851840 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 213179887851840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482808063144960).

213179887851840 is an abundant number, since it is smaller than the sum of its proper divisors (752436238438080).

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

213179887851840 is a wasteful number, since it uses less digits than its factorization.

213179887851840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3023 counting only the distinct ones).

The product of its (nonzero) digits is 216760320, while the sum is 72.

The spelling of 213179887851840 in words is "two hundred thirteen trillion, one hundred seventy-nine billion, eight hundred eighty-seven million, eight hundred fifty-one thousand, eight hundred forty".