5104214016000 has 1088 divisors, whose sum is σ = 18844025241600. Its totient is φ = 1216610304000.

The previous prime is 5104214015951. The next prime is 5104214016017. The reversal of 5104214016000 is 6104124015.

It is a happy number.

It is a super-2 number, since 2×5104214016000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21356543881 + ... + 21356544119.

Almost surely, 2^{5104214016000} is an apocalyptic number.

5104214016000 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 5104214016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9422012620800).

5104214016000 is an abundant number, since it is smaller than the sum of its proper divisors (13739811225600).

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

5104214016000 is an equidigital number, since it uses as much as digits as its factorization.

5104214016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The spelling of 5104214016000 in words is "five trillion, one hundred four billion, two hundred fourteen million, sixteen thousand".