15516516000 has 192 divisors, whose sum is σ = 51004961280. Its totient is φ = 4123673600.

The previous prime is 15516515999. The next prime is 15516516007. The reversal of 15516516000 is 61561551.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (15516516007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3801961 + ... + 3806039.

It is an arithmetic number, because the mean of its divisors is an integer number (265650840).

Almost surely, 2^15516516000 is an apocalyptic number.

15516516000 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 15516516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25502480640).

15516516000 is an abundant number, since it is smaller than the sum of its proper divisors (35488445280).

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

15516516000 is a wasteful number, since it uses less digits than its factorization.

15516516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4406 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 30.

The spelling of 15516516000 in words is "fifteen billion, five hundred sixteen million, five hundred sixteen thousand".