15601944960 has 768 divisors, whose sum is σ = 64443600000. Its totient is φ = 3475390464.

The previous prime is 15601944923. The next prime is 15601944979. The reversal of 15601944960 is 6944910651.

It is a happy number.

15601944960 is a `hidden beast` number, since 15 + 60 + 1 + 94 + 496 + 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 95 ways as a sum of consecutive naturals, for example, 104710966 + ... + 104711114.

Almost surely, 2^15601944960 is an apocalyptic number.

15601944960 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 15601944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221800000).

15601944960 is an abundant number, since it is smaller than the sum of its proper divisors (48841655040).

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

15601944960 is a wasteful number, since it uses less digits than its factorization.

15601944960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 15601944960 in words is "fifteen billion, six hundred one million, nine hundred forty-four thousand, nine hundred sixty".