216612003400 has 96 divisors (see below), whose sum is σ = 545360797800. Its totient is φ = 79537766400.

The previous prime is 216612003379. The next prime is 216612003403. The reversal of 216612003400 is 4300216612.

216612003400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 48297094756 + 168314908644 = 219766^2 + 410262^2 .

It is a super-2 number, since 2×216612003400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (216612003403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 240456 + ... + 700744.

Almost surely, 2^216612003400 is an apocalyptic number.

216612003400 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 216612003400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272680398900).

216612003400 is an abundant number, since it is smaller than the sum of its proper divisors (328748794400).

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

216612003400 is a wasteful number, since it uses less digits than its factorization.

216612003400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460499 (or 460490 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The spelling of 216612003400 in words is "two hundred sixteen billion, six hundred twelve million, three thousand, four hundred".