5745943526400 has 3960 divisors, whose sum is σ = 27793346643216. Its totient is φ = 1159358054400.

The previous prime is 5745943526383. The next prime is 5745943526483. The reversal of 5745943526400 is 46253495475.

It is a happy number.

5745943526400 is a `hidden beast` number, since 5 + 7 + 4 + 594 + 3 + 5 + 2 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3960).

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 359 ways as a sum of consecutive naturals, for example, 59236531152 + ... + 59236531248.

Almost surely, 2^{5745943526400} is an apocalyptic number.

5745943526400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5745943526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13896673321608).

5745943526400 is an abundant number, since it is smaller than the sum of its proper divisors (22047403116816).

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

5745943526400 is a wasteful number, since it uses less digits than its factorization.

5745943526400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 5745943526400 in words is "five trillion, seven hundred forty-five billion, nine hundred forty-three million, five hundred twenty-six thousand, four hundred".