2155796818560 has 1920 divisors, whose sum is σ = 9755374786560. Its totient is φ = 434712821760.

The previous prime is 2155796818559. The next prime is 2155796818561. The reversal of 2155796818560 is 658186975512.

2155796818560 is a `hidden beast` number, since 2 + 1 + 5 + 5 + 7 + 9 + 68 + 1 + 8 + 560 = 666.

It is an interprime number because it is at equal distance from previous prime (2155796818559) and next prime (2155796818561).

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (2155796818561) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 5628712129 + ... + 5628712511.

It is an arithmetic number, because the mean of its divisors is an integer number (5080924368).

Almost surely, 2^{2155796818560} is an apocalyptic number.

2155796818560 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 2155796818560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4877687393280).

2155796818560 is an abundant number, since it is smaller than the sum of its proper divisors (7599577968000).

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

2155796818560 is a wasteful number, since it uses less digits than its factorization.

2155796818560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 484 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 63.

The spelling of 2155796818560 in words is "two trillion, one hundred fifty-five billion, seven hundred ninety-six million, eight hundred eighteen thousand, five hundred sixty".