5104866412800 has 2592 divisors, whose sum is σ = 24797972828160. Its totient is φ = 1014206054400.

The previous prime is 5104866412781. The next prime is 5104866412829. The reversal of 5104866412800 is 82146684015.

It is a happy number.

5104866412800 is a `hidden beast` number, since 51 + 0 + 486 + 6 + 41 + 2 + 80 + 0 = 666.

It is a super-2 number, since 2×5104866412800² (a number of 26 digits) contains 22 as substring.

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 287 ways as a sum of consecutive naturals, for example, 2142200409 + ... + 2142202791.

Almost surely, 2^{5104866412800} is an apocalyptic number.

5104866412800 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 5104866412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12398986414080).

5104866412800 is an abundant number, since it is smaller than the sum of its proper divisors (19693106415360).

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

5104866412800 is a wasteful number, since it uses less digits than its factorization.

5104866412800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 5104866412800 in words is "five trillion, one hundred four billion, eight hundred sixty-six million, four hundred twelve thousand, eight hundred".