5705374371840 has 1248 divisors, whose sum is σ = 24097106307456. Its totient is φ = 1276567879680.

The previous prime is 5705374371817. The next prime is 5705374371841. The reversal of 5705374371840 is 481734735075.

5705374371840 is a `hidden beast` number, since 5 + 70 + 537 + 4 + 37 + 1 + 8 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5705374371841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 711655512 + ... + 711663528.

It is an arithmetic number, because the mean of its divisors is an integer number (19308578772).

Almost surely, 2^{5705374371840} 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 5705374371840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12048553153728).

5705374371840 is an abundant number, since it is smaller than the sum of its proper divisors (18391731935616).

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

5705374371840 is a wasteful number, since it uses less digits than its factorization.

5705374371840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8085 (or 8051 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 5705374371840 in words is "five trillion, seven hundred five billion, three hundred seventy-four million, three hundred seventy-one thousand, eight hundred forty".