10355493024 has 144 divisors (see below), whose sum is σ = 29802427200. Its totient is φ = 3410611200.

The previous prime is 10355493019. The next prime is 10355493047. The reversal of 10355493024 is 42039455301.

10355493024 is a `hidden beast` number, since 10 + 3 + 554 + 93 + 0 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×10355493024³ (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 10355493024.

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 23 ways as a sum of consecutive naturals, for example, 9871252 + ... + 9872300.

It is an arithmetic number, because the mean of its divisors is an integer number (206961300).

Almost surely, 2^10355493024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10355493024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14901213600).

10355493024 is an abundant number, since it is smaller than the sum of its proper divisors (19446934176).

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

10355493024 is a wasteful number, since it uses less digits than its factorization.

10355493024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1443 (or 1432 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 10355493024 in words is "ten billion, three hundred fifty-five million, four hundred ninety-three thousand, twenty-four".