10575331885440 has 1024 divisors, whose sum is σ = 44317808640000. Its totient is φ = 2332252569600.

The previous prime is 10575331885423. The next prime is 10575331885501. The reversal of 10575331885440 is 4458813357501.

10575331885440 is a `hidden beast` number, since 1 + 0 + 5 + 7 + 533 + 18 + 8 + 54 + 40 = 666.

It is a super-2 number, since 2×10575331885440² (a number of 27 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1308662200 + ... + 1308670280.

It is an arithmetic number, because the mean of its divisors is an integer number (43279110000).

Almost surely, 2^{10575331885440} is an apocalyptic number.

10575331885440 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 10575331885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22158904320000).

10575331885440 is an abundant number, since it is smaller than the sum of its proper divisors (33742476754560).

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

10575331885440 is a wasteful number, since it uses less digits than its factorization.

10575331885440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8496 (or 8478 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 10575331885440 in words is "ten trillion, five hundred seventy-five billion, three hundred thirty-one million, eight hundred eighty-five thousand, four hundred forty".