38877216093504 has 280 divisors, whose sum is σ = 117213004034280. Its totient is φ = 12739372056576.

The previous prime is 38877216093487. The next prime is 38877216093523. The reversal of 38877216093504 is 40539061277883.

38877216093504 is a `hidden beast` number, since 38 + 8 + 7 + 7 + 2 + 1 + 6 + 0 + 93 + 504 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3486615093504 + 35390601000000 = 1867248^2 + 5949000^2 .

It is a super-2 number, since 2×38877216093504² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79574512 + ... + 80061584.

It is an arithmetic number, because the mean of its divisors is an integer number (418617871551).

It is a 1-persistent number, because it is pandigital, but 2⋅38877216093504 = 77754432187008 is not.

Almost surely, 2^{38877216093504} 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 38877216093504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58606502017140).

38877216093504 is an abundant number, since it is smaller than the sum of its proper divisors (78335787940776).

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

38877216093504 is a wasteful number, since it uses less digits than its factorization.

38877216093504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487359 (or 487340 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 38877216093504 in words is "thirty-eight trillion, eight hundred seventy-seven billion, two hundred sixteen million, ninety-three thousand, five hundred four".