10802521632672 has 288 divisors, whose sum is σ = 38306030765184. Its totient is φ = 2805396940800.

The previous prime is 10802521632659. The next prime is 10802521632757. The reversal of 10802521632672 is 27623612520801.

10802521632672 is a `hidden beast` number, since 1 + 0 + 8 + 0 + 2 + 5 + 2 + 1 + 632 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 150339538 + ... + 150411374.

It is an arithmetic number, because the mean of its divisors is an integer number (133007051268).

Almost surely, 2^{10802521632672} is an apocalyptic number.

10802521632672 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 10802521632672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19153015382592).

10802521632672 is an abundant number, since it is smaller than the sum of its proper divisors (27503509132512).

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

10802521632672 is a wasteful number, since it uses less digits than its factorization.

10802521632672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78652 (or 78641 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 10802521632672 in words is "ten trillion, eight hundred two billion, five hundred twenty-one million, six hundred thirty-two thousand, six hundred seventy-two".