5078077248000 has 640 divisors, whose sum is σ = 17753028733440. Its totient is φ = 1285939200000.

The previous prime is 5078077247951. The next prime is 5078077248011. The reversal of 5078077248000 is 8427708705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (640).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 339640525 + ... + 339655475.

It is an arithmetic number, because the mean of its divisors is an integer number (27739107396).

Almost surely, 2^{5078077248000} is an apocalyptic number.

5078077248000 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 5078077248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8876514366720).

5078077248000 is an abundant number, since it is smaller than the sum of its proper divisors (12674951485440).

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

5078077248000 is a wasteful number, since it uses less digits than its factorization.

5078077248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15077 (or 15051 counting only the distinct ones).

The product of its (nonzero) digits is 878080, while the sum is 48.

The spelling of 5078077248000 in words is "five trillion, seventy-eight billion, seventy-seven million, two hundred forty-eight thousand".