15406908480 has 448 divisors, whose sum is σ = 57741312000. Its totient is φ = 3856398336.

The previous prime is 15406908469. The next prime is 15406908497. The reversal of 15406908480 is 8480960451.

15406908480 is a `hidden beast` number, since 1 + 5 + 406 + 90 + 84 + 80 = 666.

It is a super-2 number, since 2×15406908480² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20847951 + ... + 20848689.

Almost surely, 2^15406908480 is an apocalyptic number.

15406908480 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 15406908480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28870656000).

15406908480 is an abundant number, since it is smaller than the sum of its proper divisors (42334403520).

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

15406908480 is a wasteful number, since it uses less digits than its factorization.

15406908480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 911 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 15406908480 in words is "fifteen billion, four hundred six million, nine hundred eight thousand, four hundred eighty".