5177834861472 has 768 divisors, whose sum is σ = 19667837952000. Its totient is φ = 1286935216128.

The previous prime is 5177834861461. The next prime is 5177834861473. The reversal of 5177834861472 is 2741684387715.

It is a happy number.

5177834861472 is a `hidden beast` number, since 5 + 1 + 7 + 7 + 8 + 3 + 4 + 8 + 614 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (5177834861473) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 288305229 + ... + 288323187.

It is an arithmetic number, because the mean of its divisors is an integer number (25609164000).

Almost surely, 2^{5177834861472} is an apocalyptic number.

5177834861472 is a gapful number since it is divisible by the number (52) 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 5177834861472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833918976000).

5177834861472 is an abundant number, since it is smaller than the sum of its proper divisors (14490003090528).

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

5177834861472 is a wasteful number, since it uses less digits than its factorization.

5177834861472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18210 (or 18196 counting only the distinct ones).

The product of its digits is 63221760, while the sum is 63.

It can be divided in two parts, 5177834 and 861472, that added together give a palindrome (6039306).

The spelling of 5177834861472 in words is "five trillion, one hundred seventy-seven billion, eight hundred thirty-four million, eight hundred sixty-one thousand, four hundred seventy-two".