16079757120 has 784 divisors, whose sum is σ = 67428831360. Its totient is φ = 3574222848.

The previous prime is 16079757101. The next prime is 16079757149. The reversal of 16079757120 is 2175797061.

16079757120 is a `hidden beast` number, since 1 + 6 + 0 + 79 + 7 + 571 + 2 + 0 = 666.

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 111 ways as a sum of consecutive naturals, for example, 70217166 + ... + 70217394.

Almost surely, 2^16079757120 is an apocalyptic number.

16079757120 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 16079757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33714415680).

16079757120 is an abundant number, since it is smaller than the sum of its proper divisors (51349074240).

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

16079757120 is an equidigital number, since it uses as much as digits as its factorization.

16079757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 185220, while the sum is 45.

The spelling of 16079757120 in words is "sixteen billion, seventy-nine million, seven hundred fifty-seven thousand, one hundred twenty".