16077096000 has 1120 divisors, whose sum is σ = 71031567360. Its totient is φ = 3556224000.

The previous prime is 16077095981. The next prime is 16077096001. The reversal of 16077096000 is 69077061.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16077096001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 518615985 + ... + 518616015.

Almost surely, 2^16077096000 is an apocalyptic number.

16077096000 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 16077096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35515783680).

16077096000 is an abundant number, since it is smaller than the sum of its proper divisors (54954471360).

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

16077096000 is an frugal number, since it uses more digits than its factorization.

16077096000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The spelling of 16077096000 in words is "sixteen billion, seventy-seven million, ninety-six thousand".