10479697920 has 512 divisors, whose sum is σ = 39258086400. Its totient is φ = 2647130112.

The previous prime is 10479697873. The next prime is 10479697927. The reversal of 10479697920 is 2979697401.

It is a tau number, because it is divible by the number of its divisors (512).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10479697927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101744589 + ... + 101744691.

It is an arithmetic number, because the mean of its divisors is an integer number (76675950).

Almost surely, 2^10479697920 is an apocalyptic number.

10479697920 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 10479697920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19629043200).

10479697920 is an abundant number, since it is smaller than the sum of its proper divisors (28778388480).

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

10479697920 is an equidigital number, since it uses as much as digits as its factorization.

10479697920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 10479697920 in words is "ten billion, four hundred seventy-nine million, six hundred ninety-seven thousand, nine hundred twenty".