10479989520 has 1280 divisors, whose sum is σ = 50156789760. Its totient is φ = 1940889600.

The previous prime is 10479989501. The next prime is 10479989539. The reversal of 10479989520 is 2598997401.

10479989520 is a `hidden beast` number, since 104 + 7 + 9 + 9 + 8 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (10479989501) and next prime (10479989539).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 79999855 + ... + 79999985.

It is an arithmetic number, because the mean of its divisors is an integer number (39184992).

Almost surely, 2^10479989520 is an apocalyptic number.

10479989520 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 10479989520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25078394880).

10479989520 is an abundant number, since it is smaller than the sum of its proper divisors (39676800240).

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

10479989520 is a wasteful number, since it uses less digits than its factorization.

10479989520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

It can be divided in two parts, 10479 and 989520, that added together give a palindrome (999999).

The spelling of 10479989520 in words is "ten billion, four hundred seventy-nine million, nine hundred eighty-nine thousand, five hundred twenty".