5540895360000 has 3960 divisors, whose sum is σ = 27737080443072. Its totient is φ = 1028505600000.

The previous prime is 5540895359981. The next prime is 5540895360059. The reversal of 5540895360000 is 635980455.

5540895360000 is a `hidden beast` number, since 554 + 0 + 8 + 95 + 3 + 6 + 0 + 0 + 0 + 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 (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 178738559985 + ... + 178738560015.

Almost surely, 2^{5540895360000} is an apocalyptic number.

5540895360000 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 5540895360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13868540221536).

5540895360000 is an abundant number, since it is smaller than the sum of its proper divisors (22196185083072).

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

5540895360000 is a wasteful number, since it uses less digits than its factorization.

5540895360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 5540895360000 in words is "five trillion, five hundred forty billion, eight hundred ninety-five million, three hundred sixty thousand".