216210535133400 has 144 divisors (see below), whose sum is σ = 749529855322560. Its totient is φ = 55796267116800.

The previous prime is 216210535133399. The next prime is 216210535133429. The reversal of 216210535133400 is 4331535012612.

216210535133400 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 105 + 3 + 513 + 34 + 0 + 0 = 666.

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 35 ways as a sum of consecutive naturals, for example, 1937314587 + ... + 1937426186.

It is an arithmetic number, because the mean of its divisors is an integer number (5205068439740).

Almost surely, 2^{216210535133400} is an apocalyptic number.

216210535133400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

216210535133400 is an abundant number, since it is smaller than the sum of its proper divisors (533319320189160).

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

216210535133400 is a wasteful number, since it uses less digits than its factorization.

216210535133400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3874740826 (or 3874740814 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 216210535133400 in words is "two hundred sixteen trillion, two hundred ten billion, five hundred thirty-five million, one hundred thirty-three thousand, four hundred".