10553356352 has 224 divisors, whose sum is σ = 27651456000. Its totient is φ = 3871549440.

The previous prime is 10553356337. The next prime is 10553356357. The reversal of 10553356352 is 25365335501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×10553356352² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (10553356357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25186799 + ... + 25187217.

It is an arithmetic number, because the mean of its divisors is an integer number (123444000).

Almost surely, 2^10553356352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10553356352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13825728000).

10553356352 is an abundant number, since it is smaller than the sum of its proper divisors (17098099648).

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

10553356352 is a wasteful number, since it uses less digits than its factorization.

10553356352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 737 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 38.

The spelling of 10553356352 in words is "ten billion, five hundred fifty-three million, three hundred fifty-six thousand, three hundred fifty-two".