10079989920 has 1728 divisors, whose sum is σ = 50068077696. Its totient is φ = 1881169920.

The previous prime is 10079989897. The next prime is 10079989943. The reversal of 10079989920 is 2998997001.

It is an interprime number because it is at equal distance from previous prime (10079989897) and next prime (10079989943).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 272432142 + ... + 272432178.

It is an arithmetic number, because the mean of its divisors is an integer number (28974582).

Almost surely, 2^10079989920 is an apocalyptic number.

10079989920 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 10079989920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25034038848).

10079989920 is an abundant number, since it is smaller than the sum of its proper divisors (39988087776).

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

10079989920 is a wasteful number, since it uses less digits than its factorization.

10079989920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 54.

It can be divided in two parts, 10079 and 989920, that added together give a palindrome (999999).

The spelling of 10079989920 in words is "ten billion, seventy-nine million, nine hundred eighty-nine thousand, nine hundred twenty".