5139067078656 has 1152 divisors, whose sum is σ = 18957315686400. Its totient is φ = 1358503280640.

The previous prime is 5139067078643. The next prime is 5139067078657. The reversal of 5139067078656 is 6568707609315.

5139067078656 is a `hidden beast` number, since 51 + 390 + 6 + 70 + 7 + 86 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5139067078593 and 5139067078602.

It is not an unprimeable number, because it can be changed into a prime (5139067078657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2483839990 + ... + 2483842058.

It is an arithmetic number, because the mean of its divisors is an integer number (16456003200).

Almost surely, 2^{5139067078656} is an apocalyptic number.

5139067078656 is a gapful number since it is divisible by the number (56) 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 5139067078656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9478657843200).

5139067078656 is an abundant number, since it is smaller than the sum of its proper divisors (13818248607744).

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

5139067078656 is a wasteful number, since it uses less digits than its factorization.

5139067078656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2167 (or 2135 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 5139067078656 in words is "five trillion, one hundred thirty-nine billion, sixty-seven million, seventy-eight thousand, six hundred fifty-six".