10007668980099 has 192 divisors, whose sum is σ = 17706657945600. Its totient is φ = 5434113484800.

The previous prime is 10007668980097. The next prime is 10007668980103. The reversal of 10007668980099 is 99008986670001.

10007668980099 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 3163490²-1.

It is not a de Polignac number, because 10007668980099 - 2¹ = 10007668980097 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (10007668980097) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8911547952 + ... + 8911549074.

It is an arithmetic number, because the mean of its divisors is an integer number (92222176800).

Almost surely, 2^{10007668980099} is an apocalyptic number.

10007668980099 is a deficient number, since it is larger than the sum of its proper divisors (7698988965501).

10007668980099 is a wasteful number, since it uses less digits than its factorization.

10007668980099 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1887 (or 1870 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 63.

The spelling of 10007668980099 in words is "ten trillion, seven billion, six hundred sixty-eight million, nine hundred eighty thousand, ninety-nine".