1653160803840 has 3840 divisors, whose sum is σ = 8107581081600. Its totient is φ = 313026674688.

The previous prime is 1653160803769. The next prime is 1653160803841. The reversal of 1653160803840 is 483080613561.

1653160803840 is a `hidden beast` number, since 1 + 6 + 5 + 3 + 1 + 608 + 0 + 38 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

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 (1653160803841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 31191713254 + ... + 31191713306.

It is an arithmetic number, because the mean of its divisors is an integer number (2111349240).

Almost surely, 2^{1653160803840} is an apocalyptic number.

1653160803840 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 1653160803840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4053790540800).

1653160803840 is an abundant number, since it is smaller than the sum of its proper divisors (6454420277760).

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

1653160803840 is a wasteful number, since it uses less digits than its factorization.

1653160803840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 1653160803840 in words is "one trillion, six hundred fifty-three billion, one hundred sixty million, eight hundred three thousand, eight hundred forty".