10585572480 has 640 divisors, whose sum is σ = 44644469760. Its totient is φ = 2339020800.

The previous prime is 10585572469. The next prime is 10585572493. The reversal of 10585572480 is 8427558501.

10585572480 is a `hidden beast` number, since 1 + 0 + 58 + 55 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×10585572480² (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 an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11248810 + ... + 11249750.

It is an arithmetic number, because the mean of its divisors is an integer number (69756984).

Almost surely, 2^10585572480 is an apocalyptic number.

10585572480 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 10585572480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22322234880).

10585572480 is an abundant number, since it is smaller than the sum of its proper divisors (34058897280).

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

10585572480 is an equidigital number, since it uses as much as digits as its factorization.

10585572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 989 counting only the distinct ones).

The product of its (nonzero) digits is 448000, while the sum is 45.

The spelling of 10585572480 in words is "ten billion, five hundred eighty-five million, five hundred seventy-two thousand, four hundred eighty".