16476086880 has 480 divisors, whose sum is σ = 64808916480. Its totient is φ = 3907630080.

The previous prime is 16476086849. The next prime is 16476086881. The reversal of 16476086880 is 8868067461.

16476086880 is a `hidden beast` number, since 16 + 476 + 0 + 86 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×16476086880² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16476086881) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6699091 + ... + 6701549.

It is an arithmetic number, because the mean of its divisors is an integer number (135018576).

Almost surely, 2^16476086880 is an apocalyptic number.

16476086880 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 16476086880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32404458240).

16476086880 is an abundant number, since it is smaller than the sum of its proper divisors (48332829600).

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

16476086880 is a wasteful number, since it uses less digits than its factorization.

16476086880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2544 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 16476086880 in words is "sixteen billion, four hundred seventy-six million, eighty-six thousand, eight hundred eighty".