5077628033700 has 288 divisors, whose sum is σ = 15697825497088. Its totient is φ = 1264890816000.

The previous prime is 5077628033683. The next prime is 5077628033701. The reversal of 5077628033700 is 73308267705.

It is a super-2 number, since 2×5077628033700² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5077628033700.

It is not an unprimeable number, because it can be changed into a prime (5077628033701) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 43642605 + ... + 43758795.

Almost surely, 2^{5077628033700} is an apocalyptic number.

5077628033700 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 5077628033700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7848912748544).

5077628033700 is an abundant number, since it is smaller than the sum of its proper divisors (10620197463388).

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

5077628033700 is a wasteful number, since it uses less digits than its factorization.

5077628033700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116403 (or 116396 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 48.

The spelling of 5077628033700 in words is "five trillion, seventy-seven billion, six hundred twenty-eight million, thirty-three thousand, seven hundred".