5085102439200 has 864 divisors, whose sum is σ = 20128446946944. Its totient is φ = 1109731983360.

The previous prime is 5085102439199. The next prime is 5085102439231. The reversal of 5085102439200 is 29342015805.

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, 1831148212 + ... + 1831150988.

It is an arithmetic number, because the mean of its divisors is an integer number (23296813596).

Almost surely, 2^{5085102439200} is an apocalyptic number.

5085102439200 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 5085102439200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10064223473472).

5085102439200 is an abundant number, since it is smaller than the sum of its proper divisors (15043344507744).

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

5085102439200 is a wasteful number, since it uses less digits than its factorization.

5085102439200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3514 (or 3494 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The spelling of 5085102439200 in words is "five trillion, eighty-five billion, one hundred two million, four hundred thirty-nine thousand, two hundred".