10459487805480 has 640 divisors, whose sum is σ = 40730286643200. Its totient is φ = 2358059931648.

The previous prime is 10459487805463. The next prime is 10459487805491. The reversal of 10459487805480 is 8450878495401.

10459487805480 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 9 + 4 + 8 + 7 + 80 + 548 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 551273274 + ... + 551292246.

It is an arithmetic number, because the mean of its divisors is an integer number (63641072880).

Almost surely, 2^{10459487805480} is an apocalyptic number.

10459487805480 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 10459487805480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20365143321600).

10459487805480 is an abundant number, since it is smaller than the sum of its proper divisors (30270798837720).

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

10459487805480 is a wasteful number, since it uses less digits than its factorization.

10459487805480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19335 (or 19322 counting only the distinct ones).

The product of its (nonzero) digits is 51609600, while the sum is 63.

The spelling of 10459487805480 in words is "ten trillion, four hundred fifty-nine billion, four hundred eighty-seven million, eight hundred five thousand, four hundred eighty".