7857086016 has 112 divisors (see below), whose sum is σ = 22506236928. Its totient is φ = 2404761600.

The previous prime is 7857086009. The next prime is 7857086137. The reversal of 7857086016 is 6106807587.

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

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, 468496 + ... + 484976.

It is an arithmetic number, because the mean of its divisors is an integer number (200948544).

Almost surely, 2^7857086016 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 7857086016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11253118464).

7857086016 is an abundant number, since it is smaller than the sum of its proper divisors (14649150912).

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

7857086016 is a wasteful number, since it uses less digits than its factorization.

7857086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16700 (or 16690 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 48.

The square root of 7857086016 is about 88640.2054149244. The cubic root of 7857086016 is about 1988.0188709281.

The spelling of 7857086016 in words is "seven billion, eight hundred fifty-seven million, eighty-six thousand, sixteen".