16528861440 has 432 divisors, whose sum is σ = 70389865728. Its totient is φ = 3487186944.

The previous prime is 16528861421. The next prime is 16528861499. The reversal of 16528861440 is 4416882561.

It is a happy number.

16528861440 is a `hidden beast` number, since 1 + 6 + 5 + 28 + 8 + 614 + 4 + 0 = 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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1040437 + ... + 1056203.

It is an arithmetic number, because the mean of its divisors is an integer number (162939504).

Almost surely, 2^16528861440 is an apocalyptic number.

16528861440 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 16528861440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35194932864).

16528861440 is an abundant number, since it is smaller than the sum of its proper divisors (53861004288).

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

16528861440 is a wasteful number, since it uses less digits than its factorization.

16528861440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15814 (or 15797 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 16528861440 in words is "sixteen billion, five hundred twenty-eight million, eight hundred sixty-one thousand, four hundred forty".