10601231760 has 240 divisors, whose sum is σ = 42458068224. Its totient is φ = 2317759488.

The previous prime is 10601231759. The next prime is 10601231761. The reversal of 10601231760 is 6713210601.

It is an interprime number because it is at equal distance from previous prime (10601231759) and next prime (10601231761).

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10601231760² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10601231761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70194 + ... + 161646.

Almost surely, 2^10601231760 is an apocalyptic number.

10601231760 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 10601231760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21229034112).

10601231760 is an abundant number, since it is smaller than the sum of its proper divisors (31856836464).

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

10601231760 is a wasteful number, since it uses less digits than its factorization.

10601231760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91502 (or 91493 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10601231760 in words is "ten billion, six hundred one million, two hundred thirty-one thousand, seven hundred sixty".