5754374410752 has 1200 divisors, whose sum is σ = 19800019717632. Its totient is φ = 1660538880000.

The previous prime is 5754374410727. The next prime is 5754374410777. The reversal of 5754374410752 is 2570144734575.

5754374410752 is a `hidden beast` number, since 5 + 7 + 543 + 7 + 4 + 41 + 0 + 7 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (5754374410727) and next prime (5754374410777).

It is a super-2 number, since 2×5754374410752² (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

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 119 ways as a sum of consecutive naturals, for example, 11044864252 + ... + 11044864772.

Almost surely, 2^{5754374410752} 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 5754374410752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9900009858816).

5754374410752 is an abundant number, since it is smaller than the sum of its proper divisors (14045645306880).

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

5754374410752 is a wasteful number, since it uses less digits than its factorization.

5754374410752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 16464000, while the sum is 54.

The spelling of 5754374410752 in words is "five trillion, seven hundred fifty-four billion, three hundred seventy-four million, four hundred ten thousand, seven hundred fifty-two".