10753323310080 has 528 divisors, whose sum is σ = 40806376097760. Its totient is φ = 2602099408896.

The previous prime is 10753323310033. The next prime is 10753323310087. The reversal of 10753323310080 is 8001332335701.

10753323310080 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 332 + 3 + 310 + 0 + 8 + 0 = 666.

It is a super-2 number, since 2×10753323310080² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10753323310087) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35191234 + ... + 35495486.

Almost surely, 2^{10753323310080} is an apocalyptic number.

10753323310080 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 10753323310080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20403188048880).

10753323310080 is an abundant number, since it is smaller than the sum of its proper divisors (30053052787680).

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

10753323310080 is a wasteful number, since it uses less digits than its factorization.

10753323310080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304356 (or 304335 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

Adding to 10753323310080 its reverse (8001332335701), we get a palindrome (18754655645781).

The spelling of 10753323310080 in words is "ten trillion, seven hundred fifty-three billion, three hundred twenty-three million, three hundred ten thousand, eighty".