16582474272 has 384 divisors, whose sum is σ = 55780558848. Its totient is φ = 4196966400.

The previous prime is 16582474241. The next prime is 16582474303. The reversal of 16582474272 is 27247428561.

It is an interprime number because it is at equal distance from previous prime (16582474241) and next prime (16582474303).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23997447 + ... + 23998137.

It is an arithmetic number, because the mean of its divisors is an integer number (145261872).

Almost surely, 2^16582474272 is an apocalyptic number.

16582474272 is a gapful number since it is divisible by the number (12) 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 16582474272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27890279424).

16582474272 is an abundant number, since it is smaller than the sum of its proper divisors (39198084576).

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

16582474272 is a wasteful number, since it uses less digits than its factorization.

16582474272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 824 counting only the distinct ones).

The product of its digits is 1505280, while the sum is 48.

The spelling of 16582474272 in words is "sixteen billion, five hundred eighty-two million, four hundred seventy-four thousand, two hundred seventy-two".