10533888000 has 560 divisors, whose sum is σ = 39583425024. Its totient is φ = 2786918400.

The previous prime is 10533887999. The next prime is 10533888067. The reversal of 10533888000 is 88833501.

It is a happy number.

It is a super-2 number, since 2×10533888000² (a number of 21 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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82943937 + ... + 82944063.

Almost surely, 2^10533888000 is an apocalyptic number.

10533888000 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 10533888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19791712512).

10533888000 is an abundant number, since it is smaller than the sum of its proper divisors (29049537024).

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

10533888000 is an frugal number, since it uses more digits than its factorization.

10533888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 10533888000 in words is "ten billion, five hundred thirty-three million, eight hundred eighty-eight thousand".