38790824485500 has 576 divisors, whose sum is σ = 125170542072576. Its totient is φ = 10110078720000.

The previous prime is 38790824485471. The next prime is 38790824485513. The reversal of 38790824485500 is 558442809783.

38790824485500 is a `hidden beast` number, since 3 + 8 + 7 + 9 + 0 + 8 + 2 + 44 + 85 + 500 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 40114606017 + ... + 40114606983.

It is an arithmetic number, because the mean of its divisors is an integer number (217309968876).

Almost surely, 2^{38790824485500} is an apocalyptic number.

38790824485500 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 38790824485500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62585271036288).

38790824485500 is an abundant number, since it is smaller than the sum of its proper divisors (86379717587076).

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

38790824485500 is a wasteful number, since it uses less digits than its factorization.

38790824485500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1831 (or 1816 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 38790824485500 in words is "thirty-eight trillion, seven hundred ninety billion, eight hundred twenty-four million, four hundred eighty-five thousand, five hundred".