213099400800 has 2160 divisors, whose sum is σ = 965234627280. Its totient is φ = 45287424000.

The previous prime is 213099400753. The next prime is 213099400831. The reversal of 213099400800 is 8004990312.

It is a tau number, because it is divible by the number of its divisors (2160).

It is a super-2 number, since 2×213099400800² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 3493432770 + ... + 3493432830.

It is an arithmetic number, because the mean of its divisors is an integer number (446867883).

Almost surely, 2^213099400800 is an apocalyptic number.

213099400800 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 213099400800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482617313640).

213099400800 is an abundant number, since it is smaller than the sum of its proper divisors (752135226480).

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

213099400800 is a wasteful number, since it uses less digits than its factorization.

213099400800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 213099400800 in words is "two hundred thirteen billion, ninety-nine million, four hundred thousand, eight hundred".