216057839400 has 768 divisors, whose sum is σ = 826997068800. Its totient is φ = 51508224000.

The previous prime is 216057839383. The next prime is 216057839411. The reversal of 216057839400 is 4938750612.

216057839400 is a `hidden beast` number, since 2 + 1 + 6 + 0 + 578 + 39 + 40 + 0 = 666.

216057839400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 779992062 + ... + 779992338.

It is an arithmetic number, because the mean of its divisors is an integer number (1076819100).

It is a 1-persistent number, because it is pandigital, but 2⋅216057839400 = 432115678800 is not.

Almost surely, 2^216057839400 is an apocalyptic number.

216057839400 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 216057839400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413498534400).

216057839400 is an abundant number, since it is smaller than the sum of its proper divisors (610939229400).

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

216057839400 is a wasteful number, since it uses less digits than its factorization.

216057839400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 216057839400 in words is "two hundred sixteen billion, fifty-seven million, eight hundred thirty-nine thousand, four hundred".