116511042816000 has 4608 divisors, whose sum is σ = 527419604275200. Its totient is φ = 25583910912000.

The previous prime is 116511042815939. The next prime is 116511042816017. The reversal of 116511042816000 is 618240115611.

116511042816000 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 1 + 1 + 0 + 42 + 8 + 1 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4608).

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

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 850445567932 + ... + 850445568068.

It is an arithmetic number, because the mean of its divisors is an integer number (114457379400).

Almost surely, 2^{116511042816000} is an apocalyptic number.

116511042816000 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 116511042816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263709802137600).

116511042816000 is an abundant number, since it is smaller than the sum of its proper divisors (410908561459200).

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

116511042816000 is an frugal number, since it uses more digits than its factorization.

116511042816000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 116511042816000 in words is "one hundred sixteen trillion, five hundred eleven billion, forty-two million, eight hundred sixteen thousand".