5742518306400 has 576 divisors, whose sum is σ = 22107647520000. Its totient is φ = 1434431877120.

The previous prime is 5742518306377. The next prime is 5742518306407. The reversal of 5742518306400 is 46038152475.

5742518306400 is a `hidden beast` number, since 5 + 7 + 42 + 518 + 30 + 64 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5742518306407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 36446991 + ... + 36604209.

It is an arithmetic number, because the mean of its divisors is an integer number (38381332500).

Almost surely, 2^{5742518306400} is an apocalyptic number.

5742518306400 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 5742518306400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11053823760000).

5742518306400 is an abundant number, since it is smaller than the sum of its proper divisors (16365129213600).

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

5742518306400 is a wasteful number, since it uses less digits than its factorization.

5742518306400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157356 (or 157337 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5742518306400 in words is "five trillion, seven hundred forty-two billion, five hundred eighteen million, three hundred six thousand, four hundred".