5271258492000 has 768 divisors, whose sum is σ = 19701840936960. Its totient is φ = 1368306432000.

The previous prime is 5271258491981. The next prime is 5271258492011. The reversal of 5271258492000 is 2948521725.

5271258492000 is a `hidden beast` number, since 52 + 7 + 12 + 584 + 9 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×5271258492000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 969513282 + ... + 969518718.

It is an arithmetic number, because the mean of its divisors is an integer number (25653438720).

Almost surely, 2^{5271258492000} is an apocalyptic number.

5271258492000 is a gapful number since it is divisible by the number (50) 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 5271258492000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9850920468480).

5271258492000 is an abundant number, since it is smaller than the sum of its proper divisors (14430582444960).

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

5271258492000 is a wasteful number, since it uses less digits than its factorization.

5271258492000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5685 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 5271258492000 in words is "five trillion, two hundred seventy-one billion, two hundred fifty-eight million, four hundred ninety-two thousand".