213016677120 has 864 divisors, whose sum is σ = 831214675200. Its totient is φ = 51920289792.

The previous prime is 213016677113. The next prime is 213016677149. The reversal of 213016677120 is 21776610312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×213016677120² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 562049091 + ... + 562049469.

Almost surely, 2^213016677120 is an apocalyptic number.

213016677120 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 213016677120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415607337600).

213016677120 is an abundant number, since it is smaller than the sum of its proper divisors (618197998080).

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

213016677120 is a wasteful number, since it uses less digits than its factorization.

213016677120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 567 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 213016677120 in words is "two hundred thirteen billion, sixteen million, six hundred seventy-seven thousand, one hundred twenty".