10498527271488 has 448 divisors, whose sum is σ = 31039107563520. Its totient is φ = 3120231628800.

The previous prime is 10498527271399. The next prime is 10498527271523. The reversal of 10498527271488 is 88417272589401.

It is a super-2 number, since 2×10498527271488² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 443394306 + ... + 443417982.

It is an arithmetic number, because the mean of its divisors is an integer number (69283722240).

Almost surely, 2^{10498527271488} 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 10498527271488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15519553781760).

10498527271488 is an abundant number, since it is smaller than the sum of its proper divisors (20540580292032).

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

10498527271488 is a wasteful number, since it uses less digits than its factorization.

10498527271488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23866 (or 23856 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 66.

The spelling of 10498527271488 in words is "ten trillion, four hundred ninety-eight billion, five hundred twenty-seven million, two hundred seventy-one thousand, four hundred eighty-eight".