16575251616 has 1152 divisors, whose sum is σ = 67629219840. Its totient is φ = 3863116800.

The previous prime is 16575251603. The next prime is 16575251621. The reversal of 16575251616 is 61615257561.

It is a happy number.

16575251616 is a `hidden beast` number, since 1 + 6 + 5 + 7 + 5 + 25 + 1 + 616 = 666.

It is a super-2 number, since 2×16575251616² (a number of 21 digits) contains 22 as substring.

Its product of digits (378000) is a multiple of the sum of its prime divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 352664905 + ... + 352664951.

It is an arithmetic number, because the mean of its divisors is an integer number (58705920).

Almost surely, 2^16575251616 is an apocalyptic number.

16575251616 is a gapful number since it is divisible by the number (16) 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 16575251616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33814609920).

16575251616 is an abundant number, since it is smaller than the sum of its proper divisors (51053968224).

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

16575251616 is a wasteful number, since it uses less digits than its factorization.

16575251616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 16575251616 in words is "sixteen billion, five hundred seventy-five million, two hundred fifty-one thousand, six hundred sixteen".