16387522560 has 480 divisors, whose sum is σ = 60396134400. Its totient is φ = 4211343360.

The previous prime is 16387522559. The next prime is 16387522601. The reversal of 16387522560 is 6522578361.

16387522560 is a `hidden beast` number, since 1 + 6 + 3 + 87 + 5 + 2 + 2 + 560 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68566921 + ... + 68567159.

It is an arithmetic number, because the mean of its divisors is an integer number (125825280).

Almost surely, 2^16387522560 is an apocalyptic number.

16387522560 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 16387522560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30198067200).

16387522560 is an abundant number, since it is smaller than the sum of its proper divisors (44008611840).

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

16387522560 is an equidigital number, since it uses as much as digits as its factorization.

16387522560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 16387522560 in words is "sixteen billion, three hundred eighty-seven million, five hundred twenty-two thousand, five hundred sixty".