10082998272 has 96 divisors (see below), whose sum is σ = 27250881840. Its totient is φ = 3314810880.

The previous prime is 10082998241. The next prime is 10082998301. The reversal of 10082998272 is 27289928001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 437272 + ... + 459752.

Almost surely, 2^10082998272 is an apocalyptic number.

10082998272 is a gapful number since it is divisible by the number (12) 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 10082998272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13625440920).

10082998272 is an abundant number, since it is smaller than the sum of its proper divisors (17167883568).

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

10082998272 is an equidigital number, since it uses as much as digits as its factorization.

10082998272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22579 (or 22559 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The spelling of 10082998272 in words is "ten billion, eighty-two million, nine hundred ninety-eight thousand, two hundred seventy-two".