10461588480 has 704 divisors, whose sum is σ = 44804736000. Its totient is φ = 2261385216.

The previous prime is 10461588457. The next prime is 10461588497. The reversal of 10461588480 is 8488516401.

10461588480 is a `hidden beast` number, since 1 + 0 + 4 + 61 + 588 + 4 + 8 + 0 = 666.

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 63 ways as a sum of consecutive naturals, for example, 18385636 + ... + 18386204.

Almost surely, 2^10461588480 is an apocalyptic number.

10461588480 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 10461588480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22402368000).

10461588480 is an abundant number, since it is smaller than the sum of its proper divisors (34343147520).

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

10461588480 is a wasteful number, since it uses less digits than its factorization.

10461588480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629 (or 605 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 10461588480 in words is "ten billion, four hundred sixty-one million, five hundred eighty-eight thousand, four hundred eighty".