5754307942432 has 288 divisors, whose sum is σ = 14450098965120. Its totient is φ = 2238646394880.

The previous prime is 5754307942417. The next prime is 5754307942447. The reversal of 5754307942432 is 2342497034575.

It is an interprime number because it is at equal distance from previous prime (5754307942417) and next prime (5754307942447).

It is a super-2 number, since 2×5754307942432² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 843365773 + ... + 843372595.

It is an arithmetic number, because the mean of its divisors is an integer number (50173954740).

Almost surely, 2^{5754307942432} 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 5754307942432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7225049482560).

5754307942432 is an abundant number, since it is smaller than the sum of its proper divisors (8695791022688).

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

5754307942432 is a wasteful number, since it uses less digits than its factorization.

5754307942432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7984 (or 7969 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 55.

The spelling of 5754307942432 in words is "five trillion, seven hundred fifty-four billion, three hundred seven million, nine hundred forty-two thousand, four hundred thirty-two".