5136884766720 has 768 divisors, whose sum is σ = 22096300262400. Its totient is φ = 1105070653440.

The previous prime is 5136884766701. The next prime is 5136884766731. The reversal of 5136884766720 is 276674886315.

5136884766720 is a `hidden beast` number, since 5 + 1 + 3 + 6 + 88 + 476 + 67 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

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, 32823055 + ... + 32979185.

It is an arithmetic number, because the mean of its divisors is an integer number (28771224300).

Almost surely, 2^{5136884766720} 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 5136884766720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048150131200).

5136884766720 is an abundant number, since it is smaller than the sum of its proper divisors (16959415495680).

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

5136884766720 is a wasteful number, since it uses less digits than its factorization.

5136884766720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156191 (or 156165 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 63.

The spelling of 5136884766720 in words is "five trillion, one hundred thirty-six billion, eight hundred eighty-four million, seven hundred sixty-six thousand, seven hundred twenty".