6089869802016 has 1728 divisors, whose sum is σ = 25750825430400. Its totient is φ = 1382973419520.

The previous prime is 6089869801969. The next prime is 6089869802017. The reversal of 6089869802016 is 6102089689806.

6089869802016 is a `hidden beast` number, since 608 + 9 + 8 + 6 + 9 + 8 + 0 + 2 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6089869802017) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1265293626 + ... + 1265298438.

It is an arithmetic number, because the mean of its divisors is an integer number (14902098050).

Almost surely, 2^{6089869802016} is an apocalyptic number.

6089869802016 is a gapful number since it is divisible by the number (66) 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 6089869802016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12875412715200).

6089869802016 is an abundant number, since it is smaller than the sum of its proper divisors (19660955628384).

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

6089869802016 is a wasteful number, since it uses less digits than its factorization.

6089869802016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4900 (or 4868 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 63.

The spelling of 6089869802016 in words is "six trillion, eighty-nine billion, eight hundred sixty-nine million, eight hundred two thousand, sixteen".