5077748714688 has 1344 divisors, whose sum is σ = 17961730375680. Its totient is φ = 1354442342400.

The previous prime is 5077748714677. The next prime is 5077748714693. The reversal of 5077748714688 is 8864178477705.

5077748714688 is a `hidden beast` number, since 5 + 0 + 7 + 77 + 487 + 14 + 68 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 18737079993 + ... + 18737080263.

It is an arithmetic number, because the mean of its divisors is an integer number (13364382720).

Almost surely, 2^{5077748714688} 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 5077748714688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8980865187840).

5077748714688 is an abundant number, since it is smaller than the sum of its proper divisors (12883981660992).

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

5077748714688 is a wasteful number, since it uses less digits than its factorization.

5077748714688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 590069760, while the sum is 72.

The spelling of 5077748714688 in words is "five trillion, seventy-seven billion, seven hundred forty-eight million, seven hundred fourteen thousand, six hundred eighty-eight".