8538157056 has 416 divisors, whose sum is σ = 27609829632. Its totient is φ = 2312110080.

The previous prime is 8538157039. The next prime is 8538157073. The reversal of 8538157056 is 6507518358.

It is an interprime number because it is at equal distance from previous prime (8538157039) and next prime (8538157073).

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 8538156996 and 8538157014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75558856 + ... + 75558968.

Almost surely, 2^8538157056 is an apocalyptic number.

8538157056 is a gapful number since it is divisible by the number (86) 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 8538157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13804914816).

8538157056 is an abundant number, since it is smaller than the sum of its proper divisors (19071672576).

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

8538157056 is a wasteful number, since it uses less digits than its factorization.

8538157056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 48.

The square root of 8538157056 is about 92402.1485464489. The cubic root of 8538157056 is about 2043.8767955375.

The spelling of 8538157056 in words is "eight billion, five hundred thirty-eight million, one hundred fifty-seven thousand, fifty-six".