10860701260500 has 1296 divisors, whose sum is σ = 44329364889264. Its totient is φ = 2229273446400.

The previous prime is 10860701260429. The next prime is 10860701260547. The reversal of 10860701260500 is 506210706801.

10860701260500 is a `hidden beast` number, since 1 + 0 + 8 + 60 + 70 + 1 + 26 + 0 + 500 = 666.

10860701260500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 24 ways, for example, as 10530050960016 + 330650300484 = 3245004^2 + 575022^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1378782562 + ... + 1378790438.

It is an arithmetic number, because the mean of its divisors is an integer number (34204756859).

Almost surely, 2^{10860701260500} is an apocalyptic number.

10860701260500 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 10860701260500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22164682444632).

10860701260500 is an abundant number, since it is smaller than the sum of its proper divisors (33468663628764).

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

10860701260500 is a wasteful number, since it uses less digits than its factorization.

10860701260500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7979 (or 7944 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10860701260500 in words is "ten trillion, eight hundred sixty billion, seven hundred one million, two hundred sixty thousand, five hundred".