15665045760 has 1152 divisors, whose sum is σ = 72689218560. Its totient is φ = 3100114944.

The previous prime is 15665045719. The next prime is 15665045761. The reversal of 15665045760 is 6754056651.

15665045760 is a `hidden beast` number, since 15 + 6 + 65 + 0 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (15665045761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53464174 + ... + 53464466.

It is an arithmetic number, because the mean of its divisors is an integer number (63098280).

Almost surely, 2^15665045760 is an apocalyptic number.

15665045760 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 15665045760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36344609280).

15665045760 is an abundant number, since it is smaller than the sum of its proper divisors (57024172800).

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

15665045760 is a wasteful number, since it uses less digits than its factorization.

15665045760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 340 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 15665045760 in words is "fifteen billion, six hundred sixty-five million, forty-five thousand, seven hundred sixty".