5864665251840 has 288 divisors, whose sum is σ = 19031632131456. Its totient is φ = 1541847121920.

The previous prime is 5864665251791. The next prime is 5864665251923. The reversal of 5864665251840 is 481525664685.

It is a super-2 number, since 2×5864665251840² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139570674 + ... + 139612686.

It is an arithmetic number, because the mean of its divisors is an integer number (66082056012).

Almost surely, 2^{5864665251840} 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 5864665251840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9515816065728).

5864665251840 is an abundant number, since it is smaller than the sum of its proper divisors (13166966879616).

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

5864665251840 is an frugal number, since it uses more digits than its factorization.

5864665251840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42126 (or 42094 counting only the distinct ones).

The product of its (nonzero) digits is 55296000, while the sum is 60.

The spelling of 5864665251840 in words is "five trillion, eight hundred sixty-four billion, six hundred sixty-five million, two hundred fifty-one thousand, eight hundred forty".