213942159195408 has 1280 divisors, whose sum is σ = 766324094976000. Its totient is φ = 56984648878080.

The previous prime is 213942159195383. The next prime is 213942159195419. The reversal of 213942159195408 is 804591951249312.

It is a happy number.

213942159195408 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 4 + 21 + 59 + 19 + 540 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81626156338 + ... + 81626158958.

It is an arithmetic number, because the mean of its divisors is an integer number (598690699200).

Almost surely, 2^{213942159195408} is an apocalyptic number.

213942159195408 is a gapful number since it is divisible by the number (28) 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 213942159195408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383162047488000).

213942159195408 is an abundant number, since it is smaller than the sum of its proper divisors (552381935780592).

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

213942159195408 is a wasteful number, since it uses less digits than its factorization.

213942159195408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3282 (or 3256 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 213942159195408 in words is "two hundred thirteen trillion, nine hundred forty-two billion, one hundred fifty-nine million, one hundred ninety-five thousand, four hundred eight".