5104561785600 has 432 divisors, whose sum is σ = 17265380139392. Its totient is φ = 1327440199680.

The previous prime is 5104561785553. The next prime is 5104561785601. The reversal of 5104561785600 is 65871654015.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5104561785600.

It is not an unprimeable number, because it can be changed into a prime (5104561785601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555624207 + ... + 555633393.

Almost surely, 2^{5104561785600} is an apocalyptic number.

5104561785600 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 5104561785600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8632690069696).

5104561785600 is an abundant number, since it is smaller than the sum of its proper divisors (12160818353792).

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

5104561785600 is a wasteful number, since it uses less digits than its factorization.

5104561785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9932 (or 9913 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The spelling of 5104561785600 in words is "five trillion, one hundred four billion, five hundred sixty-one million, seven hundred eighty-five thousand, six hundred".