5845057484640 has 384 divisors, whose sum is σ = 20832057114624. Its totient is φ = 1364767488000.

The previous prime is 5845057484627. The next prime is 5845057484653. The reversal of 5845057484640 is 464847505485.

It is an interprime number because it is at equal distance from previous prime (5845057484627) and next prime (5845057484653).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34451859 + ... + 34621101.

It is an arithmetic number, because the mean of its divisors is an integer number (54250148736).

Almost surely, 2^{5845057484640} 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 5845057484640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10416028557312).

5845057484640 is an abundant number, since it is smaller than the sum of its proper divisors (14986999629984).

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

5845057484640 is a wasteful number, since it uses less digits than its factorization.

5845057484640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169514 (or 169506 counting only the distinct ones).

The product of its (nonzero) digits is 86016000, while the sum is 60.

The spelling of 5845057484640 in words is "five trillion, eight hundred forty-five billion, fifty-seven million, four hundred eighty-four thousand, six hundred forty".