16528471260 has 288 divisors, whose sum is σ = 56881440000. Its totient is φ = 3565707264.

The previous prime is 16528471229. The next prime is 16528471291. The reversal of 16528471260 is 6217482561.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16528471229) and next prime (16528471291).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 25080811 + ... + 25081469.

It is an arithmetic number, because the mean of its divisors is an integer number (197505000).

Almost surely, 2^16528471260 is an apocalyptic number.

16528471260 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 16528471260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440720000).

16528471260 is an abundant number, since it is smaller than the sum of its proper divisors (40352968740).

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

16528471260 is a wasteful number, since it uses less digits than its factorization.

16528471260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1153 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 16528471260 in words is "sixteen billion, five hundred twenty-eight million, four hundred seventy-one thousand, two hundred sixty".