5200078780800 has 768 divisors, whose sum is σ = 19704572160000. Its totient is φ = 1337870131200.

The previous prime is 5200078780783. The next prime is 5200078780811. The reversal of 5200078780800 is 80878700025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 934758819 + ... + 934764381.

It is an arithmetic number, because the mean of its divisors is an integer number (25656995000).

Almost surely, 2^{5200078780800} is an apocalyptic number.

5200078780800 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 5200078780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9852286080000).

5200078780800 is an abundant number, since it is smaller than the sum of its proper divisors (14504493379200).

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

5200078780800 is a wasteful number, since it uses less digits than its factorization.

5200078780800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976 (or 5953 counting only the distinct ones).

The product of its (nonzero) digits is 250880, while the sum is 45.

The spelling of 5200078780800 in words is "five trillion, two hundred billion, seventy-eight million, seven hundred eighty thousand, eight hundred".