16478052480 has 512 divisors, whose sum is σ = 63452160000. Its totient is φ = 4026101760.

The previous prime is 16478052439. The next prime is 16478052509. The reversal of 16478052480 is 8425087461.

16478052480 is a `hidden beast` number, since 1 + 6 + 47 + 8 + 0 + 524 + 80 = 666.

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, 10177111 + ... + 10178729.

It is an arithmetic number, because the mean of its divisors is an integer number (123930000).

Almost surely, 2^16478052480 is an apocalyptic number.

16478052480 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 16478052480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31726080000).

16478052480 is an abundant number, since it is smaller than the sum of its proper divisors (46974107520).

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

16478052480 is a wasteful number, since it uses less digits than its factorization.

16478052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1679 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 16478052480 in words is "sixteen billion, four hundred seventy-eight million, fifty-two thousand, four hundred eighty".