10099957779840 has 512 divisors, whose sum is σ = 34863408599040. Its totient is φ = 2477338787840.

The previous prime is 10099957779809. The next prime is 10099957779841. The reversal of 10099957779840 is 4897775999001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10099957779841) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1139817010 + ... + 1139825870.

It is an arithmetic number, because the mean of its divisors is an integer number (68092594920).

Almost surely, 2^{10099957779840} is an apocalyptic number.

10099957779840 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 10099957779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17431704299520).

10099957779840 is an abundant number, since it is smaller than the sum of its proper divisors (24763450819200).

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

10099957779840 is a wasteful number, since it uses less digits than its factorization.

10099957779840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9690 (or 9678 counting only the distinct ones).

The product of its (nonzero) digits is 360067680, while the sum is 75.

The spelling of 10099957779840 in words is "ten trillion, ninety-nine billion, nine hundred fifty-seven million, seven hundred seventy-nine thousand, eight hundred forty".