2166562850400 has 432 divisors, whose sum is σ = 8585249321376. Its totient is φ = 510119976960.

The previous prime is 2166562850383. The next prime is 2166562850407. The reversal of 2166562850400 is 40582656612.

2166562850400 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 562 + 85 + 0 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2166562850407) 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 71 ways as a sum of consecutive naturals, for example, 1649604 + ... + 2655996.

It is an arithmetic number, because the mean of its divisors is an integer number (19873262318).

Almost surely, 2^{2166562850400} is an apocalyptic number.

2166562850400 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 2166562850400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4292624660688).

2166562850400 is an abundant number, since it is smaller than the sum of its proper divisors (6418686470976).

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

2166562850400 is a wasteful number, since it uses less digits than its factorization.

2166562850400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1006455 (or 1006439 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 2166562850400 in words is "two trillion, one hundred sixty-six billion, five hundred sixty-two million, eight hundred fifty thousand, four hundred".