10115745826000 has 160 divisors (see below), whose sum is σ = 24614491812768. Its totient is φ = 4020799795200.

The previous prime is 10115745825961. The next prime is 10115745826027. The reversal of 10115745826000 is 62854751101.

It can be written as a sum of positive squares in 16 ways, for example, as 8586259573824 + 1529486252176 = 2930232^2 + 1236724^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 206617524 + ... + 206666476.

Almost surely, 2^{10115745826000} is an apocalyptic number.

10115745826000 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 10115745826000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12307245906384).

10115745826000 is an abundant number, since it is smaller than the sum of its proper divisors (14498745986768).

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

10115745826000 is a wasteful number, since it uses less digits than its factorization.

10115745826000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49626 (or 49610 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 40.

The spelling of 10115745826000 in words is "ten trillion, one hundred fifteen billion, seven hundred forty-five million, eight hundred twenty-six thousand".