5874861817440 has 3072 divisors, whose sum is σ = 27354718863360. Its totient is φ = 1156919500800.

The previous prime is 5874861817397. The next prime is 5874861817441. The reversal of 5874861817440 is 447181684785.

5874861817440 is a `hidden beast` number, since 5 + 8 + 7 + 4 + 8 + 6 + 181 + 7 + 440 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5874861817441) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 70781467639 + ... + 70781467721.

It is an arithmetic number, because the mean of its divisors is an integer number (8904530880).

Almost surely, 2^{5874861817440} 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 5874861817440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13677359431680).

5874861817440 is an abundant number, since it is smaller than the sum of its proper divisors (21479857045920).

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

5874861817440 is a wasteful number, since it uses less digits than its factorization.

5874861817440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 48168960, while the sum is 63.

The spelling of 5874861817440 in words is "five trillion, eight hundred seventy-four billion, eight hundred sixty-one million, eight hundred seventeen thousand, four hundred forty".