2155216896000 has 1680 divisors, whose sum is σ = 9500597346240. Its totient is φ = 475634073600.

The previous prime is 2155216895981. The next prime is 2155216896011. The reversal of 2155216896000 is 6986125512.

2155216896000 is a `hidden beast` number, since 2 + 1 + 5 + 521 + 68 + 9 + 60 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

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 polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 74317823986 + ... + 74317824014.

It is an arithmetic number, because the mean of its divisors is an integer number (5655117468).

Almost surely, 2^{2155216896000} is an apocalyptic number.

2155216896000 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 2155216896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4750298673120).

2155216896000 is an abundant number, since it is smaller than the sum of its proper divisors (7345380450240).

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

2155216896000 is an frugal number, since it uses more digits than its factorization.

2155216896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 2155216896000 in words is "two trillion, one hundred fifty-five billion, two hundred sixteen million, eight hundred ninety-six thousand".