10459480957920 has 288 divisors, whose sum is σ = 37806705780480. Its totient is φ = 2624142458880.

The previous prime is 10459480957879. The next prime is 10459480957949. The reversal of 10459480957920 is 2975908495401.

10459480957920 is a `hidden beast` number, since 1 + 0 + 4 + 59 + 4 + 8 + 0 + 9 + 579 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 66482550 + ... + 66639690.

It is an arithmetic number, because the mean of its divisors is an integer number (131273283960).

Almost surely, 2^{10459480957920} is an apocalyptic number.

10459480957920 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 10459480957920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18903352890240).

10459480957920 is an abundant number, since it is smaller than the sum of its proper divisors (27347224822560).

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

10459480957920 is a wasteful number, since it uses less digits than its factorization.

10459480957920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159898 (or 159887 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 10459480957920 in words is "ten trillion, four hundred fifty-nine billion, four hundred eighty million, nine hundred fifty-seven thousand, nine hundred twenty".