10099831762944 has 1040 divisors, whose sum is σ = 39253704399360. Its totient is φ = 2509128990720.

The previous prime is 10099831762919. The next prime is 10099831762949. The reversal of 10099831762944 is 44926713899001.

10099831762944 is a `hidden beast` number, since 10 + 0 + 99 + 83 + 176 + 294 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099831762949) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 587566702 + ... + 587583890.

Almost surely, 2^{10099831762944} is an apocalyptic number.

10099831762944 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 10099831762944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19626852199680).

10099831762944 is an abundant number, since it is smaller than the sum of its proper divisors (29153872636416).

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

10099831762944 is a wasteful number, since it uses less digits than its factorization.

10099831762944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17266 (or 17235 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The spelling of 10099831762944 in words is "ten trillion, ninety-nine billion, eight hundred thirty-one million, seven hundred sixty-two thousand, nine hundred forty-four".