10865364480 has 240 divisors, whose sum is σ = 38272394160. Its totient is φ = 2847965184.

The previous prime is 10865364467. The next prime is 10865364553. The reversal of 10865364480 is 8446356801.

10865364480 is a `hidden beast` number, since 108 + 6 + 5 + 3 + 64 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10865364480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 1355364 + ... + 1363356.

It is an arithmetic number, because the mean of its divisors is an integer number (159468309).

Almost surely, 2^10865364480 is an apocalyptic number.

10865364480 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 10865364480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19136197080).

10865364480 is an abundant number, since it is smaller than the sum of its proper divisors (27407029680).

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

10865364480 is an equidigital number, since it uses as much as digits as its factorization.

10865364480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8081 (or 8062 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 10865364480 in words is "ten billion, eight hundred sixty-five million, three hundred sixty-four thousand, four hundred eighty".