213386054400 has 216 divisors, whose sum is σ = 782465561360. Its totient is φ = 56902901760.

The previous prime is 213386054369. The next prime is 213386054429. The reversal of 213386054400 is 4450683312.

213386054400 is a `hidden beast` number, since 2 + 1 + 3 + 3 + 8 + 605 + 4 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444637 + ... + 790236.

Almost surely, 2^213386054400 is an apocalyptic number.

213386054400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213386054400 is an abundant number, since it is smaller than the sum of its proper divisors (569079506960).

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

213386054400 is a wasteful number, since it uses less digits than its factorization.

213386054400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1234908 (or 1234883 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 213386054400 in words is "two hundred thirteen billion, three hundred eighty-six million, fifty-four thousand, four hundred".