10534350134400 has 192 divisors, whose sum is σ = 34702926474720. Its totient is φ = 2808721981440.

The previous prime is 10534350134381. The next prime is 10534350134411. The reversal of 10534350134400 is 443105343501.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×10534350134400² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63978579 + ... + 64143021.

Almost surely, 2^{10534350134400} is an apocalyptic number.

10534350134400 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 10534350134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17351463237360).

10534350134400 is an abundant number, since it is smaller than the sum of its proper divisors (24168576340320).

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

10534350134400 is a wasteful number, since it uses less digits than its factorization.

10534350134400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171143 (or 171126 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

Adding to 10534350134400 its reverse (443105343501), we get a palindrome (10977455477901).

The spelling of 10534350134400 in words is "ten trillion, five hundred thirty-four billion, three hundred fifty million, one hundred thirty-four thousand, four hundred".