213088158000000 has 1120 divisors, whose sum is σ = 796082557669080. Its totient is φ = 56813011200000.

The previous prime is 213088157999881. The next prime is 213088158000001. The reversal of 213088158000000 is 851880312.

213088158000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213088158000001) by changing a digit.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 39365997294 + ... + 39366002706.

Almost surely, 2^{213088158000000} is an apocalyptic number.

213088158000000 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 213088158000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398041278834540).

213088158000000 is an abundant number, since it is smaller than the sum of its proper divisors (582994399669080).

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

213088158000000 is an frugal number, since it uses more digits than its factorization.

213088158000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5484 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 213088158000000 in words is "two hundred thirteen trillion, eighty-eight billion, one hundred fifty-eight million", and thus it is an aban number.