213003878400 has 270 divisors, whose sum is σ = 763017145982. Its totient is φ = 56800051200.

The previous prime is 213003878389. The next prime is 213003878401. The reversal of 213003878400 is 4878300312.

213003878400 is a `hidden beast` number, since 213 + 0 + 0 + 38 + 7 + 8 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 34257567744 + 178746310656 = 185088^2 + 422784^2 .

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 (213003878401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3657510 + ... + 3715290.

Almost surely, 2^213003878400 is an apocalyptic number.

213003878400 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 213003878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (381508572991).

213003878400 is an abundant number, since it is smaller than the sum of its proper divisors (550013267582).

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

213003878400 is an equidigital number, since it uses as much as digits as its factorization.

213003878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57825 (or 57791 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 213003878400 in words is "two hundred thirteen billion, three million, eight hundred seventy-eight thousand, four hundred".