5077959089760 has 960 divisors, whose sum is σ = 18504921536640. Its totient is φ = 1310966415360.

The previous prime is 5077959089743. The next prime is 5077959089783. The reversal of 5077959089760 is 679809597705.

5077959089760 is a `hidden beast` number, since 507 + 7 + 9 + 59 + 0 + 8 + 9 + 7 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 19758595552 + ... + 19758595808.

It is an arithmetic number, because the mean of its divisors is an integer number (19275959934).

Almost surely, 2^{5077959089760} 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 5077959089760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9252460768320).

5077959089760 is an abundant number, since it is smaller than the sum of its proper divisors (13426962446880).

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

5077959089760 is a wasteful number, since it uses less digits than its factorization.

5077959089760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 661 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 300056400, while the sum is 72.

The spelling of 5077959089760 in words is "five trillion, seventy-seven billion, nine hundred fifty-nine million, eighty-nine thousand, seven hundred sixty".