5540579573760 has 1360 divisors, whose sum is σ = 24774457416192. Its totient is φ = 1150864588800.

The previous prime is 5540579573681. The next prime is 5540579573761. The reversal of 5540579573760 is 673759750455.

5540579573760 is a `hidden beast` number, since 5 + 5 + 4 + 0 + 57 + 9 + 573 + 7 + 6 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5540579573761) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2043738805 + ... + 2043741515.

Almost surely, 2^{5540579573760} 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 5540579573760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12387228708096).

5540579573760 is an abundant number, since it is smaller than the sum of its proper divisors (19233877842432).

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

5540579573760 is an equidigital number, since it uses as much as digits as its factorization.

5540579573760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2778 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 138915000, while the sum is 63.

The spelling of 5540579573760 in words is "five trillion, five hundred forty billion, five hundred seventy-nine million, five hundred seventy-three thousand, seven hundred sixty".