16097023365120 has 1040 divisors, whose sum is σ = 61363456160688. Its totient is φ = 4022505308160.

The previous prime is 16097023365113. The next prime is 16097023365167. The reversal of 16097023365120 is 2156332079061.

16097023365120 is a `hidden beast` number, since 1 + 60 + 9 + 70 + 2 + 3 + 3 + 6 + 512 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3674612957184 + 12422410407936 = 1916928^2 + 3524544^2 .

It is a super-2 number, since 2×16097023365120² (a number of 27 digits) contains 22 as substring.

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, 7247645610 + ... + 7247647830.

Almost surely, 2^{16097023365120} is an apocalyptic number.

16097023365120 is a gapful number since it is divisible by the number (10) 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 16097023365120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30681728080344).

16097023365120 is an abundant number, since it is smaller than the sum of its proper divisors (45266432795568).

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

16097023365120 is a wasteful number, since it uses less digits than its factorization.

16097023365120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2536 (or 2505 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 16097023365120 in words is "sixteen trillion, ninety-seven billion, twenty-three million, three hundred sixty-five thousand, one hundred twenty".