5754098710080 has 588 divisors, whose sum is σ = 23897615697180. Its totient is φ = 1315219949568.

The previous prime is 5754098710069. The next prime is 5754098710081. The reversal of 5754098710080 is 800178904575.

5754098710080 is a `hidden beast` number, since 5 + 7 + 540 + 9 + 8 + 7 + 10 + 0 + 80 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1020132320256 + 4733966389824 = 1010016^2 + 2175768^2 .

It is a tau number, because it is divible by the number of its divisors (588).

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

It is a junction number, because it is equal to n+sod(n) for n = 5754098709999 and 5754098710026.

It is not an unprimeable number, because it can be changed into a prime (5754098710081) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 11179026 + ... + 11682414.

Almost surely, 2^{5754098710080} 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 5754098710080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11948807848590).

5754098710080 is an abundant number, since it is smaller than the sum of its proper divisors (18143516987100).

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

5754098710080 is an equidigital number, since it uses as much as digits as its factorization.

5754098710080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503438 (or 503406 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 5754098710080 in words is "five trillion, seven hundred fifty-four billion, ninety-eight million, seven hundred ten thousand, eighty".