10099992955752 has 256 divisors, whose sum is σ = 32540175360000. Its totient is φ = 2842871592960.

The previous prime is 10099992955709. The next prime is 10099992955757. The reversal of 10099992955752 is 25755929999001.

10099992955752 is a `hidden beast` number, since 10 + 0 + 9 + 9 + 9 + 9 + 2 + 9 + 557 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (10099992955757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 141561624 + ... + 141632952.

It is an arithmetic number, because the mean of its divisors is an integer number (127110060000).

Almost surely, 2^{10099992955752} is an apocalyptic number.

10099992955752 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 10099992955752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16270087680000).

10099992955752 is an abundant number, since it is smaller than the sum of its proper divisors (22440182404248).

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

10099992955752 is a wasteful number, since it uses less digits than its factorization.

10099992955752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72741 (or 72731 counting only the distinct ones).

The product of its (nonzero) digits is 206671500, while the sum is 72.

The spelling of 10099992955752 in words is "ten trillion, ninety-nine billion, nine hundred ninety-two million, nine hundred fifty-five thousand, seven hundred fifty-two".