10267961760 has 1440 divisors, whose sum is σ = 47552883840. Its totient is φ = 2069286912.

The previous prime is 10267961749. The next prime is 10267961761. The reversal of 10267961760 is 6716976201.

It is a happy number.

10267961760 is a `hidden beast` number, since 1 + 0 + 26 + 7 + 9 + 617 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10267961761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 277512462 + ... + 277512498.

It is an arithmetic number, because the mean of its divisors is an integer number (33022836).

Almost surely, 2^10267961760 is an apocalyptic number.

10267961760 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 10267961760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23776441920).

10267961760 is an abundant number, since it is smaller than the sum of its proper divisors (37284922080).

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

10267961760 is a wasteful number, since it uses less digits than its factorization.

10267961760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 10267961760 in words is "ten billion, two hundred sixty-seven million, nine hundred sixty-one thousand, seven hundred sixty".