10465536960 has 280 divisors, whose sum is σ = 37744548336. Its totient is φ = 2752081920.

The previous prime is 10465536931. The next prime is 10465537021. The reversal of 10465536960 is 6963556401.

10465536960 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 553 + 6 + 96 + 0 = 666.

It is a super-2 number, since 2×10465536960² (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 (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1889395 + ... + 1894925.

Almost surely, 2^10465536960 is an apocalyptic number.

10465536960 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 10465536960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18872274168).

10465536960 is an abundant number, since it is smaller than the sum of its proper divisors (27279011376).

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

10465536960 is an equidigital number, since it uses as much as digits as its factorization.

10465536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5633 (or 5614 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 10465536960 in words is "ten billion, four hundred sixty-five million, five hundred thirty-six thousand, nine hundred sixty".