5845511659680 has 1152 divisors, whose sum is σ = 27490613794560. Its totient is φ = 1143193927680.

The previous prime is 5845511659667. The next prime is 5845511659709. The reversal of 5845511659680 is 869561155485.

5845511659680 is a `hidden beast` number, since 5 + 8 + 4 + 5 + 511 + 6 + 59 + 68 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39510324 + ... + 39657996.

It is an arithmetic number, because the mean of its divisors is an integer number (23863380030).

Almost surely, 2^{5845511659680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5845511659680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13745306897280).

5845511659680 is an abundant number, since it is smaller than the sum of its proper divisors (21645102134880).

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

5845511659680 is a wasteful number, since it uses less digits than its factorization.

5845511659680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147739 (or 147718 counting only the distinct ones).

The product of its (nonzero) digits is 51840000, while the sum is 63.

The spelling of 5845511659680 in words is "five trillion, eight hundred forty-five billion, five hundred eleven million, six hundred fifty-nine thousand, six hundred eighty".