10133539511040 has 432 divisors, whose sum is σ = 38316560405760. Its totient is φ = 2452234936320.

The previous prime is 10133539511021. The next prime is 10133539511059. The reversal of 10133539511040 is 4011593533101.

10133539511040 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 3 + 539 + 5 + 110 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10133539511021) and next prime (10133539511059).

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

It is a junction number, because it is equal to n+sod(n) for n = 10133539510986 and 10133539511004.

It is an unprimeable number.

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, 71272341 + ... + 71414379.

It is an arithmetic number, because the mean of its divisors is an integer number (88695741680).

Almost surely, 2^{10133539511040} is an apocalyptic number.

10133539511040 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 10133539511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158280202880).

10133539511040 is an abundant number, since it is smaller than the sum of its proper divisors (28183020894720).

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

10133539511040 is a wasteful number, since it uses less digits than its factorization.

10133539511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142640 (or 142623 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 10133539511040 in words is "ten trillion, one hundred thirty-three billion, five hundred thirty-nine million, five hundred eleven thousand, forty".