5076738938880 has 720 divisors, whose sum is σ = 20527249055040. Its totient is φ = 1160346894336.

The previous prime is 5076738938867. The next prime is 5076738938893. The reversal of 5076738938880 is 888398376705.

5076738938880 is a `hidden beast` number, since 507 + 6 + 7 + 3 + 8 + 9 + 38 + 8 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (5076738938867) and next prime (5076738938893).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a junction number, because it is equal to n+sod(n) for n = 5076738938799 and 5076738938808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 221264689 + ... + 221287631.

It is an arithmetic number, because the mean of its divisors is an integer number (28510068132).

Almost surely, 2^{5076738938880} 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 5076738938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10263624527520).

5076738938880 is an abundant number, since it is smaller than the sum of its proper divisors (15450510116160).

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

5076738938880 is an equidigital number, since it uses as much as digits as its factorization.

5076738938880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23004 (or 22960 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 5076738938880 in words is "five trillion, seventy-six billion, seven hundred thirty-eight million, nine hundred thirty-eight thousand, eight hundred eighty".