5177748540384 has 576 divisors, whose sum is σ = 18413776023552. Its totient is φ = 1345849344000.

The previous prime is 5177748540373. The next prime is 5177748540403. The reversal of 5177748540384 is 4830458477715.

It is a happy number.

5177748540384 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 7 + 4 + 8 + 540 + 3 + 84 = 666.

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 95 ways as a sum of consecutive naturals, for example, 1116613714 + ... + 1116618350.

It is an arithmetic number, because the mean of its divisors is an integer number (31968361152).

Almost surely, 2^{5177748540384} 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 5177748540384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9206888011776).

5177748540384 is an abundant number, since it is smaller than the sum of its proper divisors (13236027483168).

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

5177748540384 is a wasteful number, since it uses less digits than its factorization.

5177748540384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5748 counting only the distinct ones).

The product of its (nonzero) digits is 105369600, while the sum is 63.

The spelling of 5177748540384 in words is "five trillion, one hundred seventy-seven billion, seven hundred forty-eight million, five hundred forty thousand, three hundred eighty-four".