213770804400 has 1440 divisors, whose sum is σ = 881583575040. Its totient is φ = 48964608000.

The previous prime is 213770804393. The next prime is 213770804413. The reversal of 213770804400 is 4408077312.

It is a happy number.

213770804400 is a `hidden beast` number, since 2 + 137 + 7 + 0 + 80 + 440 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3010856365 + ... + 3010856435.

It is an arithmetic number, because the mean of its divisors is an integer number (612210816).

Almost surely, 2^213770804400 is an apocalyptic number.

213770804400 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 213770804400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440791787520).

213770804400 is an abundant number, since it is smaller than the sum of its proper divisors (667812770640).

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

213770804400 is a wasteful number, since it uses less digits than its factorization.

213770804400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 213770804400 in words is "two hundred thirteen billion, seven hundred seventy million, eight hundred four thousand, four hundred".