10261007120 has 320 divisors, whose sum is σ = 30229731840. Its totient is φ = 3153199104.

The previous prime is 10261007087. The next prime is 10261007143. The reversal of 10261007120 is 2170016201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10261007092 and 10261007101.

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, 53165744 + ... + 53165936.

It is an arithmetic number, because the mean of its divisors is an integer number (94467912).

Almost surely, 2^10261007120 is an apocalyptic number.

10261007120 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 10261007120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15114865920).

10261007120 is an abundant number, since it is smaller than the sum of its proper divisors (19968724720).

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

10261007120 is a wasteful number, since it uses less digits than its factorization.

10261007120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 402 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The spelling of 10261007120 in words is "ten billion, two hundred sixty-one million, seven thousand, one hundred twenty".