10575033840 has 640 divisors, whose sum is σ = 44431441920. Its totient is φ = 2259366912.

The previous prime is 10575033839. The next prime is 10575033857. The reversal of 10575033840 is 4833057501.

10575033840 is a `hidden beast` number, since 1 + 0 + 575 + 0 + 3 + 3 + 84 + 0 = 666.

10575033840 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-2 number, since 2×10575033840² (a number of 21 digits) contains 22 as substring.

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 = 10575033795 and 10575033804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16344397 + ... + 16345043.

It is an arithmetic number, because the mean of its divisors is an integer number (69424128).

Almost surely, 2^10575033840 is an apocalyptic number.

10575033840 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 10575033840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22215720960).

10575033840 is an abundant number, since it is smaller than the sum of its proper divisors (33856408080).

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

10575033840 is a wasteful number, since it uses less digits than its factorization.

10575033840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 10575033840 in words is "ten billion, five hundred seventy-five million, thirty-three thousand, eight hundred forty".