10435054320 has 240 divisors, whose sum is σ = 36152311104. Its totient is φ = 2695680000.

The previous prime is 10435054319. The next prime is 10435054339. The reversal of 10435054320 is 2345053401.

10435054320 is a `hidden beast` number, since 10 + 43 + 50 + 543 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×10435054320² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4456350 + ... + 4458690.

Almost surely, 2^10435054320 is an apocalyptic number.

10435054320 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 10435054320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18076155552).

10435054320 is an abundant number, since it is smaller than the sum of its proper divisors (25717256784).

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

10435054320 is a wasteful number, since it uses less digits than its factorization.

10435054320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2552 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 10435054320 in words is "ten billion, four hundred thirty-five million, fifty-four thousand, three hundred twenty".