2155548672000 has 1280 divisors, whose sum is σ = 8238677475600. Its totient is φ = 560568729600.

The previous prime is 2155548671987. The next prime is 2155548672007. The reversal of 2155548672000 is 2768455512.

2155548672000 is a `hidden beast` number, since 2 + 15 + 554 + 8 + 67 + 20 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 4938153984 + 2150610518016 = 70272^2 + 1466496^2 .

It is a tau number, because it is divible by the number of its divisors (1280).

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 (2155548672007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24219647956 + ... + 24219648044.

Almost surely, 2^{2155548672000} is an apocalyptic number.

2155548672000 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 2155548672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119338737800).

2155548672000 is an abundant number, since it is smaller than the sum of its proper divisors (6083128803600).

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

2155548672000 is an frugal number, since it uses more digits than its factorization.

2155548672000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 2155548672000 in words is "two trillion, one hundred fifty-five billion, five hundred forty-eight million, six hundred seventy-two thousand".