10007100066720 has 96 divisors (see below), whose sum is σ = 31523705478720. Its totient is φ = 2668446556160.

The previous prime is 10007100066679. The next prime is 10007100066869. The reversal of 10007100066720 is 2766000170001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11174800 + ... + 12037040.

It is an arithmetic number, because the mean of its divisors is an integer number (328371932070).

Almost surely, 2^{10007100066720} is an apocalyptic number.

10007100066720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10007100066720 is an abundant number, since it is smaller than the sum of its proper divisors (21516605412000).

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

10007100066720 is a wasteful number, since it uses less digits than its factorization.

10007100066720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886438 (or 886430 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The spelling of 10007100066720 in words is "ten trillion, seven billion, one hundred million, sixty-six thousand, seven hundred twenty".