16097477760 has 1024 divisors, whose sum is σ = 72793728000. Its totient is φ = 3269984256.

The previous prime is 16097477743. The next prime is 16097477771. The reversal of 16097477760 is 6777479061.

16097477760 is a `hidden beast` number, since 16 + 0 + 97 + 477 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 16097477697 and 16097477706.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45601744 + ... + 45602096.

It is an arithmetic number, because the mean of its divisors is an integer number (71087625).

Almost surely, 2^16097477760 is an apocalyptic number.

16097477760 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 16097477760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36396864000).

16097477760 is an abundant number, since it is smaller than the sum of its proper divisors (56696250240).

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

16097477760 is a wasteful number, since it uses less digits than its factorization.

16097477760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 412 counting only the distinct ones).

The product of its (nonzero) digits is 3111696, while the sum is 54.

The spelling of 16097477760 in words is "sixteen billion, ninety-seven million, four hundred seventy-seven thousand, seven hundred sixty".