38586157056 has 192 divisors, whose sum is σ = 114724209600. Its totient is φ = 12814516224.

The previous prime is 38586157037. The next prime is 38586157109. The reversal of 38586157056 is 65075168583.

38586157056 is a `hidden beast` number, since 3 + 8 + 5 + 8 + 61 + 570 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 38586156993 and 38586157011.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16974736 + ... + 16977008.

It is an arithmetic number, because the mean of its divisors is an integer number (597521925).

Almost surely, 2^38586157056 is an apocalyptic number.

38586157056 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 38586157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57362104800).

38586157056 is an abundant number, since it is smaller than the sum of its proper divisors (76138052544).

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

38586157056 is a wasteful number, since it uses less digits than its factorization.

38586157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2585 counting only the distinct ones).

The product of its (nonzero) digits is 6048000, while the sum is 54.

The spelling of 38586157056 in words is "thirty-eight billion, five hundred eighty-six million, one hundred fifty-seven thousand, fifty-six".