2166335285400 has 2304 divisors, whose sum is σ = 9619717632000. Its totient is φ = 443418624000.

The previous prime is 2166335285377. The next prime is 2166335285483. The reversal of 2166335285400 is 45825336612.

2166335285400 is a `hidden beast` number, since 2 + 1 + 6 + 633 + 5 + 2 + 8 + 5 + 4 + 0 + 0 = 666.

It is a super-4 number, since 4×2166335285400⁴ (a number of 50 digits) contains 4444 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 (19) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5003083584 + ... + 5003084016.

Almost surely, 2^{2166335285400} is an apocalyptic number.

2166335285400 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 2166335285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4809858816000).

2166335285400 is an abundant number, since it is smaller than the sum of its proper divisors (7453382346600).

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

2166335285400 is a wasteful number, since it uses less digits than its factorization.

2166335285400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2166335285400 in words is "two trillion, one hundred sixty-six billion, three hundred thirty-five million, two hundred eighty-five thousand, four hundred".