10010924352 has 672 divisors, whose sum is σ = 36322406400. Its totient is φ = 2682408960.

The previous prime is 10010924347. The next prime is 10010924369. The reversal of 10010924352 is 25342901001.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 78826113 + ... + 78826239.

It is an arithmetic number, because the mean of its divisors is an integer number (54051200).

Almost surely, 2^10010924352 is an apocalyptic number.

10010924352 is a gapful number since it is divisible by the number (12) 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 10010924352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18161203200).

10010924352 is an abundant number, since it is smaller than the sum of its proper divisors (26311482048).

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

10010924352 is a wasteful number, since it uses less digits than its factorization.

10010924352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10010924352 in words is "ten billion, ten million, nine hundred twenty-four thousand, three hundred fifty-two".