5271410889990 has 1024 divisors, whose sum is σ = 17574158131200. Its totient is φ = 1112712007680.

The previous prime is 5271410889917. The next prime is 5271410889991. The reversal of 5271410889990 is 999880141725.

5271410889990 is a `hidden beast` number, since 52 + 7 + 1 + 410 + 8 + 89 + 9 + 90 = 666.

It is a super-2 number, since 2×5271410889990² (a number of 26 digits) contains 22 as substring.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5271410889991) by changing a digit.

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 511 ways as a sum of consecutive naturals, for example, 10117870930 + ... + 10117871450.

It is an arithmetic number, because the mean of its divisors is an integer number (17162263800).

Almost surely, 2^{5271410889990} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5271410889990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8787079065600).

5271410889990 is an abundant number, since it is smaller than the sum of its proper divisors (12302747241210).

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

5271410889990 is a wasteful number, since it uses less digits than its factorization.

5271410889990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 63.

The spelling of 5271410889990 in words is "five trillion, two hundred seventy-one billion, four hundred ten million, eight hundred eighty-nine thousand, nine hundred ninety".