38755986698520 has 1536 divisors, whose sum is σ = 164578148352000. Its totient is φ = 7937462108160.

The previous prime is 38755986698519. The next prime is 38755986698543. The reversal of 38755986698520 is 2589668955783.

It is a happy number.

38755986698520 is a `hidden beast` number, since 3 + 8 + 7 + 5 + 5 + 9 + 86 + 6 + 9 + 8 + 520 = 666.

38755986698520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 38755986698520.

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 383 ways as a sum of consecutive naturals, for example, 30301787241 + ... + 30301788519.

It is an arithmetic number, because the mean of its divisors is an integer number (107147232000).

Almost surely, 2^{38755986698520} is an apocalyptic number.

38755986698520 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 38755986698520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82289074176000).

38755986698520 is an abundant number, since it is smaller than the sum of its proper divisors (125822161653480).

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

38755986698520 is a wasteful number, since it uses less digits than its factorization.

38755986698520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 7838208000, while the sum is 81.

The spelling of 38755986698520 in words is "thirty-eight trillion, seven hundred fifty-five billion, nine hundred eighty-six million, six hundred ninety-eight thousand, five hundred twenty".