8135857620 has 768 divisors, whose sum is σ = 31770869760. Its totient is φ = 1703116800.

The previous prime is 8135857607. The next prime is 8135857633. The reversal of 8135857620 is 267585318.

8135857620 is a `hidden beast` number, since 8 + 1 + 3 + 58 + 576 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (8135857607) and next prime (8135857633).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 71998684 + ... + 71998796.

It is an arithmetic number, because the mean of its divisors is an integer number (41368320).

Almost surely, 2^8135857620 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 8135857620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15885434880).

8135857620 is an abundant number, since it is smaller than the sum of its proper divisors (23635012140).

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

8135857620 is a wasteful number, since it uses less digits than its factorization.

8135857620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 8135857620 is about 90198.9890187246. The cubic root of 8135857620 is about 2011.2579783897.

The spelling of 8135857620 in words is "eight billion, one hundred thirty-five million, eight hundred fifty-seven thousand, six hundred twenty".