5057670516480 has 576 divisors, whose sum is σ = 18327616917120. Its totient is φ = 1320436629504.

The previous prime is 5057670516473. The next prime is 5057670516499. The reversal of 5057670516480 is 846150767505.

It is a happy number.

5057670516480 is a `hidden beast` number, since 5 + 0 + 57 + 6 + 70 + 516 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 345627244 + ... + 345641876.

It is an arithmetic number, because the mean of its divisors is an integer number (31818779370).

Almost surely, 2^{5057670516480} 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 5057670516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9163808458560).

5057670516480 is an abundant number, since it is smaller than the sum of its proper divisors (13269946400640).

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

5057670516480 is a wasteful number, since it uses less digits than its factorization.

5057670516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14873 (or 14853 counting only the distinct ones).

The product of its (nonzero) digits is 7056000, while the sum is 54.

The spelling of 5057670516480 in words is "five trillion, fifty-seven billion, six hundred seventy million, five hundred sixteen thousand, four hundred eighty".