10038726312700 has 144 divisors (see below), whose sum is σ = 22597211498400. Its totient is φ = 3866371891200.

The previous prime is 10038726312691. The next prime is 10038726312731. The reversal of 10038726312700 is 721362783001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2684867431 + ... + 2684871169.

It is an arithmetic number, because the mean of its divisors is an integer number (156925079850).

Almost surely, 2^{10038726312700} is an apocalyptic number.

10038726312700 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 10038726312700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11298605749200).

10038726312700 is an abundant number, since it is smaller than the sum of its proper divisors (12558485185700).

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

10038726312700 is a wasteful number, since it uses less digits than its factorization.

10038726312700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6080 (or 6073 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 10038726312700 in words is "ten trillion, thirty-eight billion, seven hundred twenty-six million, three hundred twelve thousand, seven hundred".