5753993913360 has 1280 divisors, whose sum is σ = 25576363008000. Its totient is φ = 1154315059200.

The previous prime is 5753993913341. The next prime is 5753993913379. The reversal of 5753993913360 is 633193993575.

5753993913360 is a `hidden beast` number, since 5 + 7 + 539 + 9 + 3 + 9 + 1 + 33 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (5753993913341) and next prime (5753993913379).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 255 ways as a sum of consecutive naturals, for example, 661450291 + ... + 661458989.

It is an arithmetic number, because the mean of its divisors is an integer number (19981533600).

Almost surely, 2^{5753993913360} 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 5753993913360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12788181504000).

5753993913360 is an abundant number, since it is smaller than the sum of its proper divisors (19822369094640).

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

5753993913360 is a wasteful number, since it uses less digits than its factorization.

5753993913360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8877 (or 8865 counting only the distinct ones).

The product of its (nonzero) digits is 62001450, while the sum is 63.

The spelling of 5753993913360 in words is "five trillion, seven hundred fifty-three billion, nine hundred ninety-three million, nine hundred thirteen thousand, three hundred sixty".