38750799790080 has 2400 divisors, whose sum is σ = 169743924979200. Its totient is φ = 8276032880640.

The previous prime is 38750799790069. The next prime is 38750799790141. The reversal of 38750799790080 is 8009799705783.

38750799790080 is a `hidden beast` number, since 38 + 7 + 507 + 9 + 9 + 7 + 9 + 0 + 0 + 80 = 666.

38750799790080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 38750799789990 and 38750799790008.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1250025799665 + ... + 1250025799695.

It is an arithmetic number, because the mean of its divisors is an integer number (70726635408).

Almost surely, 2^{38750799790080} is an apocalyptic number.

38750799790080 is a gapful number since it is divisible by the number (30) 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 38750799790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84871962489600).

38750799790080 is an abundant number, since it is smaller than the sum of its proper divisors (130993125189120).

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

38750799790080 is an frugal number, since it uses more digits than its factorization.

38750799790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 240045120, while the sum is 72.

The spelling of 38750799790080 in words is "thirty-eight trillion, seven hundred fifty billion, seven hundred ninety-nine million, seven hundred ninety thousand, eighty".