5542874064000 has 2560 divisors, whose sum is σ = 25950048284160. Its totient is φ = 1141243084800.

The previous prime is 5542874063941. The next prime is 5542874064017. The reversal of 5542874064000 is 4604782455.

5542874064000 is a `hidden beast` number, since 5 + 542 + 8 + 7 + 40 + 64 + 0 + 0 + 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5071247454 + ... + 5071248546.

It is an arithmetic number, because the mean of its divisors is an integer number (10136737611).

Almost surely, 2^{5542874064000} is an apocalyptic number.

5542874064000 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 5542874064000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12975024142080).

5542874064000 is an abundant number, since it is smaller than the sum of its proper divisors (20407174220160).

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

5542874064000 is a wasteful number, since it uses less digits than its factorization.

5542874064000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1166 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 5542874064000 in words is "five trillion, five hundred forty-two billion, eight hundred seventy-four million, sixty-four thousand".