5754501335440 has 480 divisors, whose sum is σ = 16263744160896. Its totient is φ = 1875675709440.

The previous prime is 5754501335431. The next prime is 5754501335461. The reversal of 5754501335440 is 445331054575.

It is a super-2 number, since 2×5754501335440² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4990893904 + ... + 4990895056.

Almost surely, 2^{5754501335440} 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 5754501335440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8131872080448).

5754501335440 is an abundant number, since it is smaller than the sum of its proper divisors (10509242825456).

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

5754501335440 is a wasteful number, since it uses less digits than its factorization.

5754501335440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 2520000, while the sum is 46.

The spelling of 5754501335440 in words is "five trillion, seven hundred fifty-four billion, five hundred one million, three hundred thirty-five thousand, four hundred forty".