2171319696000 has 4608 divisors, whose sum is σ = 11121968632320. Its totient is φ = 408482611200.

The previous prime is 2171319695971. The next prime is 2171319696011. The reversal of 2171319696000 is 6969131712.

2171319696000 is a `hidden beast` number, since 2 + 1 + 7 + 1 + 31 + 9 + 6 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 114279983991 + ... + 114279984009.

It is an arithmetic number, because the mean of its divisors is an integer number (2413621665).

Almost surely, 2^{2171319696000} is an apocalyptic number.

2171319696000 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 2171319696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5560984316160).

2171319696000 is an abundant number, since it is smaller than the sum of its proper divisors (8950648936320).

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

2171319696000 is a wasteful number, since it uses less digits than its factorization.

2171319696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 2171319696000 in words is "two trillion, one hundred seventy-one billion, three hundred nineteen million, six hundred ninety-six thousand".