15505966080 has 792 divisors, whose sum is σ = 61838003136. Its totient is φ = 3722526720.

The previous prime is 15505966079. The next prime is 15505966093. The reversal of 15505966080 is 8066950551.

It is a happy number.

15505966080 is a `hidden beast` number, since 1 + 5 + 50 + 596 + 6 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a super-2 number, since 2×15505966080² (a number of 21 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 71 ways as a sum of consecutive naturals, for example, 150543309 + ... + 150543411.

Almost surely, 2^15505966080 is an apocalyptic number.

15505966080 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 15505966080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30919001568).

15505966080 is an abundant number, since it is smaller than the sum of its proper divisors (46332037056).

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

15505966080 is a wasteful number, since it uses less digits than its factorization.

15505966080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The spelling of 15505966080 in words is "fifteen billion, five hundred five million, nine hundred sixty-six thousand, eighty".