5185122048000 has 1152 divisors, whose sum is σ = 19624243766400. Its totient is φ = 1315012608000.

The previous prime is 5185122047977. The next prime is 5185122048053. The reversal of 5185122048000 is 8402215815.

5185122048000 is a `hidden beast` number, since 51 + 8 + 5 + 122 + 0 + 480 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4743935454 + ... + 4743936546.

It is an arithmetic number, because the mean of its divisors is an integer number (17034933825).

Almost surely, 2^{5185122048000} is an apocalyptic number.

5185122048000 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 5185122048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9812121883200).

5185122048000 is an abundant number, since it is smaller than the sum of its proper divisors (14439121718400).

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

5185122048000 is a wasteful number, since it uses less digits than its factorization.

5185122048000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1236 (or 1203 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 5185122048000 in words is "five trillion, one hundred eighty-five billion, one hundred twenty-two million, forty-eight thousand".