5754527400960 has 2112 divisors, whose sum is σ = 24034203648000. Its totient is φ = 1308577628160.

The previous prime is 5754527400959. The next prime is 5754527400989. The reversal of 5754527400960 is 690047254575.

It is a happy number.

5754527400960 is a `hidden beast` number, since 5 + 7 + 54 + 527 + 4 + 0 + 0 + 9 + 60 = 666.

It is a super-2 number, since 2×5754527400960² (a number of 26 digits) contains 22 as substring.

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 = 5754527400897 and 5754527400906.

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 191 ways as a sum of consecutive naturals, for example, 11532118791 + ... + 11532119289.

Almost surely, 2^{5754527400960} 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 5754527400960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12017101824000).

5754527400960 is an abundant number, since it is smaller than the sum of its proper divisors (18279676247040).

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

5754527400960 is a wasteful number, since it uses less digits than its factorization.

5754527400960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 5754527400960 in words is "five trillion, seven hundred fifty-four billion, five hundred twenty-seven million, four hundred thousand, nine hundred sixty".