10534912455200 has 144 divisors (see below), whose sum is σ = 29433872986560. Its totient is φ = 3606874168320.

The previous prime is 10534912455187. The next prime is 10534912455257. The reversal of 10534912455200 is 255421943501.

It is a super-2 number, since 2×10534912455200² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2643719 + ... + 5297081.

It is an arithmetic number, because the mean of its divisors is an integer number (204401895740).

Almost surely, 2^{10534912455200} is an apocalyptic number.

10534912455200 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 10534912455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14716936493280).

10534912455200 is an abundant number, since it is smaller than the sum of its proper divisors (18898960531360).

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

10534912455200 is a wasteful number, since it uses less digits than its factorization.

10534912455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654099 (or 2654086 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 10534912455200 in words is "ten trillion, five hundred thirty-four billion, nine hundred twelve million, four hundred fifty-five thousand, two hundred".