2107597216320 has 560 divisors, whose sum is σ = 8163860126400. Its totient is φ = 514081935360.

The previous prime is 2107597216279. The next prime is 2107597216343. The reversal of 2107597216320 is 236127957012.

It is a happy number.

2107597216320 is a `hidden beast` number, since 2 + 1 + 0 + 7 + 5 + 9 + 7 + 2 + 1 + 632 + 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 79 ways as a sum of consecutive naturals, for example, 14208135 + ... + 14355705.

Almost surely, 2^{2107597216320} is an apocalyptic number.

2107597216320 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 2107597216320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4081930063200).

2107597216320 is an abundant number, since it is smaller than the sum of its proper divisors (6056262910080).

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

2107597216320 is a wasteful number, since it uses less digits than its factorization.

2107597216320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147648 (or 147629 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 2107597216320 in words is "two trillion, one hundred seven billion, five hundred ninety-seven million, two hundred sixteen thousand, three hundred twenty".