10072678200680 has 48 divisors (see below), whose sum is σ = 22978238563980. Its totient is φ = 3973878438912.

The previous prime is 10072678200661. The next prime is 10072678200703. The reversal of 10072678200680 is 8600287627001.

It can be written as a sum of positive squares in 6 ways, for example, as 3059301835396 + 7013376365284 = 1749086^2 + 2648278^2 .

It is a super-2 number, since 2×10072678200680² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 23413877 + ... + 23840196.

Almost surely, 2^{10072678200680} is an apocalyptic number.

10072678200680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10072678200680 is an abundant number, since it is smaller than the sum of its proper divisors (12905560363300).

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

10072678200680 is an equidigital number, since it uses as much as digits as its factorization.

10072678200680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47254230 (or 47254153 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 47.

The spelling of 10072678200680 in words is "ten trillion, seventy-two billion, six hundred seventy-eight million, two hundred thousand, six hundred eighty".