10261056883500 has 288 divisors, whose sum is σ = 32650885403136. Its totient is φ = 2712599760000.

The previous prime is 10261056883489. The next prime is 10261056883537. The reversal of 10261056883500 is 538865016201.

10261056883500 is a `hidden beast` number, since 1 + 0 + 2 + 6 + 1 + 0 + 5 + 68 + 83 + 500 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 607766059 + ... + 607782941.

It is an arithmetic number, because the mean of its divisors is an integer number (113371129872).

Almost surely, 2^{10261056883500} is an apocalyptic number.

10261056883500 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 10261056883500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16325442701568).

10261056883500 is an abundant number, since it is smaller than the sum of its proper divisors (22389828519636).

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

10261056883500 is a wasteful number, since it uses less digits than its factorization.

10261056883500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18070 (or 18055 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10261056883500 in words is "ten trillion, two hundred sixty-one billion, fifty-six million, eight hundred eighty-three thousand, five hundred".