10633104000 has 384 divisors, whose sum is σ = 39139223760. Its totient is φ = 2764800000.

The previous prime is 10633103981. The next prime is 10633104037. The reversal of 10633104000 is 40133601.

It can be written as a sum of positive squares in 8 ways, for example, as 993006144 + 9640097856 = 31512^2 + 98184^2 .

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×10633104000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5903100 + ... + 5904900.

Almost surely, 2^10633104000 is an apocalyptic number.

10633104000 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 10633104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19569611880).

10633104000 is an abundant number, since it is smaller than the sum of its proper divisors (28506119760).

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

10633104000 is a wasteful number, since it uses less digits than its factorization.

10633104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 10633104000 its reverse (40133601), we get a palindrome (10673237601).

The spelling of 10633104000 in words is "ten billion, six hundred thirty-three million, one hundred four thousand".