38387505053016 has 512 divisors, whose sum is σ = 126540604108800. Its totient is φ = 10554259046400.

The previous prime is 38387505052913. The next prime is 38387505053047. The reversal of 38387505053016 is 61035050578383.

38387505053016 is a `hidden beast` number, since 3 + 8 + 3 + 8 + 7 + 50 + 50 + 530 + 1 + 6 = 666.

38387505053016 is digitally balanced in base 2, 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 (54).

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 127 ways as a sum of consecutive naturals, for example, 1867903941 + ... + 1867924491.

It is an arithmetic number, because the mean of its divisors is an integer number (247149617400).

Almost surely, 2^{38387505053016} is an apocalyptic number.

38387505053016 is a gapful number since it is divisible by the number (36) 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 38387505053016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63270302054400).

38387505053016 is an abundant number, since it is smaller than the sum of its proper divisors (88153099055784).

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

38387505053016 is a wasteful number, since it uses less digits than its factorization.

38387505053016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20976 (or 20966 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 38387505053016 in words is "thirty-eight trillion, three hundred eighty-seven billion, five hundred five million, fifty-three thousand, sixteen".