10934493024 has 576 divisors, whose sum is σ = 38679524352. Its totient is φ = 2632089600.

The previous prime is 10934493019. The next prime is 10934493047. The reversal of 10934493024 is 42039443901.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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 95 ways as a sum of consecutive naturals, for example, 154006909 + ... + 154006979.

It is an arithmetic number, because the mean of its divisors is an integer number (67151952).

Almost surely, 2^10934493024 is an apocalyptic number.

10934493024 is a gapful number since it is divisible by the number (14) 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 10934493024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19339762176).

10934493024 is an abundant number, since it is smaller than the sum of its proper divisors (27745031328).

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

10934493024 is a wasteful number, since it uses less digits than its factorization.

10934493024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 39.

The spelling of 10934493024 in words is "ten billion, nine hundred thirty-four million, four hundred ninety-three thousand, twenty-four".