5104738375200 has 864 divisors, whose sum is σ = 19370669572800. Its totient is φ = 1261017538560.

The previous prime is 5104738375171. The next prime is 5104738375213. The reversal of 5104738375200 is 25738374015.

5104738375200 is a `hidden beast` number, since 5 + 1 + 0 + 4 + 73 + 8 + 375 + 200 = 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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2515887786 + ... + 2515889814.

It is an arithmetic number, because the mean of its divisors is an integer number (22419756450).

Almost surely, 2^{5104738375200} is an apocalyptic number.

5104738375200 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 5104738375200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9685334786400).

5104738375200 is an abundant number, since it is smaller than the sum of its proper divisors (14265931197600).

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

5104738375200 is a wasteful number, since it uses less digits than its factorization.

5104738375200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2474 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5104738375200 in words is "five trillion, one hundred four billion, seven hundred thirty-eight million, three hundred seventy-five thousand, two hundred".