5077003300128 has 504 divisors, whose sum is σ = 15417840791808. Its totient is φ = 1644784683264.

The previous prime is 5077003300121. The next prime is 5077003300151. The reversal of 5077003300128 is 8210033007705.

It is a hoax number, since the sum of its digits (36) 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 5077003300092 and 5077003300101.

It is not an unprimeable number, because it can be changed into a prime (5077003300121) by changing a digit.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 8364090801 + ... + 8364091407.

It is an arithmetic number, because the mean of its divisors is an integer number (30590953952).

Almost surely, 2^{5077003300128} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5077003300128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7708920395904).

5077003300128 is an abundant number, since it is smaller than the sum of its proper divisors (10340837491680).

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

5077003300128 is an equidigital number, since it uses as much as digits as its factorization.

5077003300128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 856 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The spelling of 5077003300128 in words is "five trillion, seventy-seven billion, three million, three hundred thousand, one hundred twenty-eight".