38720116057400 has 96 divisors (see below), whose sum is σ = 91023303979440. Its totient is φ = 15316418703360.

The previous prime is 38720116057391. The next prime is 38720116057439. The reversal of 38720116057400 is 475061102783.

38720116057400 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 6222549²-1.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 24112382 + ... + 25668018.

Almost surely, 2^{38720116057400} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38720116057400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45511651989720).

38720116057400 is an abundant number, since it is smaller than the sum of its proper divisors (52303187922040).

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

38720116057400 is a wasteful number, since it uses less digits than its factorization.

38720116057400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1557033 (or 1557024 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 38720116057400 in words is "thirty-eight trillion, seven hundred twenty billion, one hundred sixteen million, fifty-seven thousand, four hundred".