16612820115480 has 768 divisors, whose sum is σ = 59281238016000. Its totient is φ = 4022244864000.

The previous prime is 16612820115467. The next prime is 16612820115487. The reversal of 16612820115480 is 8451102821661.

16612820115480 is a `hidden beast` number, since 1 + 6 + 6 + 12 + 82 + 0 + 11 + 548 + 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 not an unprimeable number, because it can be changed into a prime (16612820115487) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2825787181 + ... + 2825793059.

It is an arithmetic number, because the mean of its divisors is an integer number (77189112000).

Almost surely, 2^{16612820115480} is an apocalyptic number.

16612820115480 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 16612820115480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29640619008000).

16612820115480 is an abundant number, since it is smaller than the sum of its proper divisors (42668417900520).

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

16612820115480 is a wasteful number, since it uses less digits than its factorization.

16612820115480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6153 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 16612820115480 in words is "sixteen trillion, six hundred twelve billion, eight hundred twenty million, one hundred fifteen thousand, four hundred eighty".