10802536992 has 144 divisors (see below), whose sum is σ = 33890147928. Its totient is φ = 3242741760.

The previous prime is 10802536991. The next prime is 10802536993. The reversal of 10802536992 is 29963520801.

10802536992 is a `hidden beast` number, since 108 + 0 + 2 + 536 + 9 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (10802536991) and next prime (10802536993).

It can be written as a sum of positive squares in 4 ways, for example, as 1183635216 + 9618901776 = 34404^2 + 98076^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (10802536991) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118318 + ... + 188690.

Almost surely, 2^10802536992 is an apocalyptic number.

10802536992 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 10802536992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16945073964).

10802536992 is an abundant number, since it is smaller than the sum of its proper divisors (23087610936).

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

10802536992 is a wasteful number, since it uses less digits than its factorization.

10802536992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70443 (or 70432 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 10802536992 in words is "ten billion, eight hundred two million, five hundred thirty-six thousand, nine hundred ninety-two".