2079001161600 has 768 divisors, whose sum is σ = 7809785856000. Its totient is φ = 481508352000.

The previous prime is 2079001161599. The next prime is 2079001161623. The reversal of 2079001161600 is 61611009702.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 258610381 + ... + 258618419.

It is an arithmetic number, because the mean of its divisors is an integer number (10168992000).

Almost surely, 2^{2079001161600} is an apocalyptic number.

2079001161600 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 2079001161600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904892928000).

2079001161600 is an abundant number, since it is smaller than the sum of its proper divisors (5730784694400).

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

2079001161600 is a wasteful number, since it uses less digits than its factorization.

2079001161600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8187 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The spelling of 2079001161600 in words is "two trillion, seventy-nine billion, one million, one hundred sixty-one thousand, six hundred".