5140889856000 has 1920 divisors, whose sum is σ = 20258055417600. Its totient is φ = 1294988083200.

The previous prime is 5140889855963. The next prime is 5140889856001. The reversal of 5140889856000 is 6589880415.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5140889856001) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 49911551949 + ... + 49911552051.

It is an arithmetic number, because the mean of its divisors is an integer number (10551070530).

Almost surely, 2^{5140889856000} is an apocalyptic number.

5140889856000 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 5140889856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10129027708800).

5140889856000 is an abundant number, since it is smaller than the sum of its proper divisors (15117165561600).

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

5140889856000 is a wasteful number, since it uses less digits than its factorization.

5140889856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 5140889856000 in words is "five trillion, one hundred forty billion, eight hundred eighty-nine million, eight hundred fifty-six thousand".