10801551360 has 192 divisors, whose sum is σ = 34673184000. Its totient is φ = 2870706176.

The previous prime is 10801551347. The next prime is 10801551373. The reversal of 10801551360 is 6315510801.

It is an interprime number because it is at equal distance from previous prime (10801551347) and next prime (10801551373).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18032341 + ... + 18032939.

It is an arithmetic number, because the mean of its divisors is an integer number (180589500).

Almost surely, 2^10801551360 is an apocalyptic number.

10801551360 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 10801551360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17336592000).

10801551360 is an abundant number, since it is smaller than the sum of its proper divisors (23871632640).

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

10801551360 is an equidigital number, since it uses as much as digits as its factorization.

10801551360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1216 (or 1196 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 10801551360 in words is "ten billion, eight hundred one million, five hundred fifty-one thousand, three hundred sixty".