10261278720 has 832 divisors, whose sum is σ = 45670394880. Its totient is φ = 2123366400.

The previous prime is 10261278689. The next prime is 10261278733. The reversal of 10261278720 is 2787216201.

10261278720 is a `hidden beast` number, since 10 + 2 + 612 + 7 + 8 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577800 + ... + 42578040.

Almost surely, 2^10261278720 is an apocalyptic number.

10261278720 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 10261278720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22835197440).

10261278720 is an abundant number, since it is smaller than the sum of its proper divisors (35409116160).

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

10261278720 is a wasteful number, since it uses less digits than its factorization.

10261278720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 10261278720 in words is "ten billion, two hundred sixty-one million, two hundred seventy-eight thousand, seven hundred twenty".