5181977659392 has 576 divisors, whose sum is σ = 15770288701440. Its totient is φ = 1699825139712.

The previous prime is 5181977659381. The next prime is 5181977659421. The reversal of 5181977659392 is 2939567791815.

5181977659392 is a `hidden beast` number, since 5 + 1 + 81 + 97 + 76 + 5 + 9 + 392 = 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 (72).

It is a self number, because there is not a number n which added to its sum of digits gives 5181977659392.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10302142213 + ... + 10302142715.

It is an arithmetic number, because the mean of its divisors is an integer number (27378973440).

Almost surely, 2^{5181977659392} 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 5181977659392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7885144350720).

5181977659392 is an abundant number, since it is smaller than the sum of its proper divisors (10588311042048).

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

5181977659392 is a wasteful number, since it uses less digits than its factorization.

5181977659392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 798 counting only the distinct ones).

The product of its digits is 257191200, while the sum is 72.

The spelling of 5181977659392 in words is "five trillion, one hundred eighty-one billion, nine hundred seventy-seven million, six hundred fifty-nine thousand, three hundred ninety-two".