1653166099200 has 864 divisors, whose sum is σ = 6841122140160. Its totient is φ = 341541273600.

The previous prime is 1653166099163. The next prime is 1653166099243. The reversal of 1653166099200 is 29906613561.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 1653166099200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 264630477 + ... + 264636723.

It is an arithmetic number, because the mean of its divisors is an integer number (7917965440).

Almost surely, 2^{1653166099200} is an apocalyptic number.

1653166099200 is a gapful number since it is divisible by the number (10) 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 1653166099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420561070080).

1653166099200 is an abundant number, since it is smaller than the sum of its proper divisors (5187956040960).

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

1653166099200 is a wasteful number, since it uses less digits than its factorization.

1653166099200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6473 (or 6454 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 1653166099200 in words is "one trillion, six hundred fifty-three billion, one hundred sixty-six million, ninety-nine thousand, two hundred".