16087541760000 has 1200 divisors, whose sum is σ = 61516734343680. Its totient is φ = 4149411840000.

The previous prime is 16087541759999. The next prime is 16087541760023. The reversal of 16087541760000 is 6714578061.

16087541760000 is a `hidden beast` number, since 160 + 8 + 75 + 417 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 8570879062 + ... + 8570880938.

Almost surely, 2^{16087541760000} is an apocalyptic number.

16087541760000 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 16087541760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30758367171840).

16087541760000 is an abundant number, since it is smaller than the sum of its proper divisors (45429192583680).

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

16087541760000 is an frugal number, since it uses more digits than its factorization.

16087541760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1965 (or 1918 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 16087541760000 in words is "sixteen trillion, eighty-seven billion, five hundred forty-one million, seven hundred sixty thousand".