10753291632552 has 128 divisors (see below), whose sum is σ = 31481414173440. Its totient is φ = 2996636497920.

The previous prime is 10753291632529. The next prime is 10753291632581. The reversal of 10753291632552 is 25523619235701.

10753291632552 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10753291632495 and 10753291632504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25948158 + ... + 26359314.

It is an arithmetic number, because the mean of its divisors is an integer number (245948548230).

Almost surely, 2^{10753291632552} is an apocalyptic number.

10753291632552 is a gapful number since it is divisible by the number (12) 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 10753291632552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15740707086720).

10753291632552 is an abundant number, since it is smaller than the sum of its proper divisors (20728122540888).

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

10753291632552 is a wasteful number, since it uses less digits than its factorization.

10753291632552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415011 (or 415007 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 10753291632552 in words is "ten trillion, seven hundred fifty-three billion, two hundred ninety-one million, six hundred thirty-two thousand, five hundred fifty-two".