213054966900 has 72 divisors (see below), whose sum is σ = 684932272640. Its totient is φ = 56814657120.

The previous prime is 213054966889. The next prime is 213054966919. The reversal of 213054966900 is 9669450312.

213054966900 is a `hidden beast` number, since 2 + 13 + 0 + 549 + 6 + 6 + 90 + 0 = 666.

It is a super-2 number, since 2×213054966900² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 39451924 + ... + 39457323.

Almost surely, 2^213054966900 is an apocalyptic number.

213054966900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213054966900 is an abundant number, since it is smaller than the sum of its proper divisors (471877305740).

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

213054966900 is a wasteful number, since it uses less digits than its factorization.

213054966900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78909270 (or 78909257 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 213054966900 in words is "two hundred thirteen billion, fifty-four million, nine hundred sixty-six thousand, nine hundred".