16628586975 has 576 divisors, whose sum is σ = 43755199488. Its totient is φ = 5806080000.

The previous prime is 16628586971. The next prime is 16628586977. The reversal of 16628586975 is 57968582661.

It is not a de Polignac number, because 16628586975 - 2² = 16628586971 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (43545600) is a multiple of the sum of its prime divisors (200).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16628586971) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 164639425 + ... + 164639525.

It is an arithmetic number, because the mean of its divisors is an integer number (75963888).

Almost surely, 2^16628586975 is an apocalyptic number.

16628586975 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

16628586975 is an abundant number, since it is smaller than the sum of its proper divisors (27126612513).

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

16628586975 is a wasteful number, since it uses less digits than its factorization.

16628586975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 200 counting only the distinct ones).

The product of its digits is 43545600, while the sum is 63.

The spelling of 16628586975 in words is "sixteen billion, six hundred twenty-eight million, five hundred eighty-six thousand, nine hundred seventy-five".