10096141007520 has 576 divisors, whose sum is σ = 35654930438400. Its totient is φ = 2600298086400.

The previous prime is 10096141007471. The next prime is 10096141007629. The reversal of 10096141007520 is 2570014169001.

10096141007520 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 614 + 10 + 0 + 7 + 5 + 20 = 666.

10096141007520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10096141007520³ (a number of 40 digits) contains 333 as substring.

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

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, 1602813331 + ... + 1602819629.

It is an arithmetic number, because the mean of its divisors is an integer number (61900920900).

Almost surely, 2^{10096141007520} is an apocalyptic number.

10096141007520 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 10096141007520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17827465219200).

10096141007520 is an abundant number, since it is smaller than the sum of its proper divisors (25558789430880).

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

10096141007520 is a wasteful number, since it uses less digits than its factorization.

10096141007520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6709 (or 6698 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 10096141007520 in words is "ten trillion, ninety-six billion, one hundred forty-one million, seven thousand, five hundred twenty".