10480799520 has 384 divisors, whose sum is σ = 38211264000. Its totient is φ = 2679828480.

The previous prime is 10480799507. The next prime is 10480799533. The reversal of 10480799520 is 2599708401.

10480799520 is a `hidden beast` number, since 10 + 48 + 0 + 79 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (10480799507) and next prime (10480799533).

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, 33700165 + ... + 33700475.

It is an arithmetic number, because the mean of its divisors is an integer number (99508500).

Almost surely, 2^10480799520 is an apocalyptic number.

10480799520 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 10480799520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19105632000).

10480799520 is an abundant number, since it is smaller than the sum of its proper divisors (27730464480).

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

10480799520 is a wasteful number, since it uses less digits than its factorization.

10480799520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 633 (or 619 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

It can be divided in two parts, 10480 and 799520, that added together give a 4-th power (810000 = 30⁴).

The spelling of 10480799520 in words is "ten billion, four hundred eighty million, seven hundred ninety-nine thousand, five hundred twenty".