16038946560 has 864 divisors, whose sum is σ = 65766435840. Its totient is φ = 3300950016.

The previous prime is 16038946559. The next prime is 16038946597. The reversal of 16038946560 is 6564983061.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 193240279 + ... + 193240361.

It is an arithmetic number, because the mean of its divisors is an integer number (76118560).

Almost surely, 2^16038946560 is an apocalyptic number.

16038946560 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 16038946560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32883217920).

16038946560 is an abundant number, since it is smaller than the sum of its proper divisors (49727489280).

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

16038946560 is a wasteful number, since it uses less digits than its factorization.

16038946560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The spelling of 16038946560 in words is "sixteen billion, thirty-eight million, nine hundred forty-six thousand, five hundred sixty".