16032485952 has 224 divisors, whose sum is σ = 53963417600. Its totient is φ = 4572412416.

The previous prime is 16032485941. The next prime is 16032485971. The reversal of 16032485952 is 25958423061.

16032485952 is a `hidden beast` number, since 16 + 0 + 3 + 2 + 48 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a junction number, because it is equal to n+sod(n) for n = 16032485898 and 16032485907.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10389693 + ... + 10391235.

Almost surely, 2^16032485952 is an apocalyptic number.

16032485952 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 16032485952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26981708800).

16032485952 is an abundant number, since it is smaller than the sum of its proper divisors (37930931648).

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

16032485952 is a wasteful number, since it uses less digits than its factorization.

16032485952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2430 (or 2414 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 16032485952 in words is "sixteen billion, thirty-two million, four hundred eighty-five thousand, nine hundred fifty-two".