10801292652 has 168 divisors, whose sum is σ = 30297960000. Its totient is φ = 3355872768.

The previous prime is 10801292651. The next prime is 10801292659. The reversal of 10801292652 is 25629210801.

10801292652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10801292651) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 5402349 + ... + 5404347.

It is an arithmetic number, because the mean of its divisors is an integer number (180345000).

Almost surely, 2^10801292652 is an apocalyptic number.

10801292652 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 10801292652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15148980000).

10801292652 is an abundant number, since it is smaller than the sum of its proper divisors (19496667348).

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

10801292652 is a wasteful number, since it uses less digits than its factorization.

10801292652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 10801292652 in words is "ten billion, eight hundred one million, two hundred ninety-two thousand, six hundred fifty-two".