5540645442600 has 288 divisors, whose sum is σ = 19435868524800. Its totient is φ = 1412705548800.

The previous prime is 5540645442587. The next prime is 5540645442611. The reversal of 5540645442600 is 62445460455.

5540645442600 is a `hidden beast` number, since 5 + 5 + 40 + 6 + 4 + 544 + 2 + 60 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4861345 + ... + 5891855.

It is an arithmetic number, because the mean of its divisors is an integer number (67485654600).

Almost surely, 2^{5540645442600} is an apocalyptic number.

5540645442600 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 5540645442600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9717934262400).

5540645442600 is an abundant number, since it is smaller than the sum of its proper divisors (13895223082200).

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

5540645442600 is a wasteful number, since it uses less digits than its factorization.

5540645442600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1030665 (or 1030653 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 5540645442600 in words is "five trillion, five hundred forty billion, six hundred forty-five million, four hundred forty-two thousand, six hundred".