10271598100480 has 480 divisors, whose sum is σ = 26278358077440. Its totient is φ = 3846124339200.

The previous prime is 10271598100471. The next prime is 10271598100493. The reversal of 10271598100480 is 8400189517201.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a self number, because there is not a number n which added to its sum of digits gives 10271598100480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22476144412 + ... + 22476144868.

It is an arithmetic number, because the mean of its divisors is an integer number (54746579328).

Almost surely, 2^{10271598100480} is an apocalyptic number.

10271598100480 is a gapful number since it is divisible by the number (10) 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 10271598100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13139179038720).

10271598100480 is an abundant number, since it is smaller than the sum of its proper divisors (16006759976960).

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

10271598100480 is an equidigital number, since it uses as much as digits as its factorization.

10271598100480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 46.

The spelling of 10271598100480 in words is "ten trillion, two hundred seventy-one billion, five hundred ninety-eight million, one hundred thousand, four hundred eighty".