2159601696000 has 1728 divisors, whose sum is σ = 9596530944000. Its totient is φ = 476330803200.

The previous prime is 2159601695987. The next prime is 2159601696127. The reversal of 2159601696000 is 6961069512.

It is a happy number.

2159601696000 is a `hidden beast` number, since 21 + 5 + 9 + 6 + 0 + 16 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 191 ways as a sum of consecutive naturals, for example, 1227743121 + ... + 1227744879.

It is an arithmetic number, because the mean of its divisors is an integer number (5553548000).

Almost surely, 2^{2159601696000} is an apocalyptic number.

2159601696000 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 2159601696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798265472000).

2159601696000 is an abundant number, since it is smaller than the sum of its proper divisors (7436929248000).

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

2159601696000 is a wasteful number, since it uses less digits than its factorization.

2159601696000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1842 (or 1805 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 2159601696000 in words is "two trillion, one hundred fifty-nine billion, six hundred one million, six hundred ninety-six thousand".