5055382314000 has 640 divisors, whose sum is σ = 18465086016000. Its totient is φ = 1321754112000.

The previous prime is 5055382313999. The next prime is 5055382314109. The reversal of 5055382314000 is 4132835505.

5055382314000 is a `hidden beast` number, since 50 + 5 + 538 + 2 + 31 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1341304116 + ... + 1341307884.

It is an arithmetic number, because the mean of its divisors is an integer number (28851696900).

Almost surely, 2^{5055382314000} is an apocalyptic number.

5055382314000 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 5055382314000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9232543008000).

5055382314000 is an abundant number, since it is smaller than the sum of its proper divisors (13409703702000).

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

5055382314000 is a wasteful number, since it uses less digits than its factorization.

5055382314000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4281 (or 4259 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 5055382314000 in words is "five trillion, fifty-five billion, three hundred eighty-two million, three hundred fourteen thousand".