5271463701504 has 1760 divisors, whose sum is σ = 21315697514496. Its totient is φ = 1253157765120.

The previous prime is 5271463701403. The next prime is 5271463701557. The reversal of 5271463701504 is 4051073641725.

5271463701504 is a `hidden beast` number, since 5 + 2 + 7 + 1 + 4 + 637 + 0 + 1 + 5 + 0 + 4 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5271463701504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14363661129 + ... + 14363661495.

Almost surely, 2^{5271463701504} is an apocalyptic number.

5271463701504 is a gapful number since it is divisible by the number (54) 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 5271463701504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10657848757248).

5271463701504 is an abundant number, since it is smaller than the sum of its proper divisors (16044233812992).

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

5271463701504 is a wasteful number, since it uses less digits than its factorization.

5271463701504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 5271463701504 in words is "five trillion, two hundred seventy-one billion, four hundred sixty-three million, seven hundred one thousand, five hundred four".