10533590807040 has 2880 divisors, whose sum is σ = 46907381664000. Its totient is φ = 2177140654080.

The previous prime is 10533590806997. The next prime is 10533590807081. The reversal of 10533590807040 is 4070809533501.

10533590807040 is a `hidden beast` number, since 1 + 0 + 53 + 3 + 590 + 8 + 0 + 7 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×10533590807040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 144295764444 + ... + 144295764516.

It is an arithmetic number, because the mean of its divisors is an integer number (16287285300).

Almost surely, 2^{10533590807040} is an apocalyptic number.

10533590807040 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 10533590807040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23453690832000).

10533590807040 is an abundant number, since it is smaller than the sum of its proper divisors (36373790856960).

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

10533590807040 is an equidigital number, since it uses as much as digits as its factorization.

10533590807040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10533590807040 in words is "ten trillion, five hundred thirty-three billion, five hundred ninety million, eight hundred seven thousand, forty".