7085315152656 has 400 divisors, whose sum is σ = 23787422021440. Its totient is φ = 2017319592960.

The previous prime is 7085315152651. The next prime is 7085315152697. The reversal of 7085315152656 is 6562515135807.

7085315152656 is a `hidden beast` number, since 7 + 0 + 8 + 53 + 1 + 515 + 26 + 56 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7085315152651) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13507446 + ... + 14022186.

Almost surely, 2^{7085315152656} is an apocalyptic number.

7085315152656 is a gapful number since it is divisible by the number (76) 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 7085315152656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11893711010720).

7085315152656 is an abundant number, since it is smaller than the sum of its proper divisors (16702106868784).

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

7085315152656 is a wasteful number, since it uses less digits than its factorization.

7085315152656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514836 (or 514821 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 54.

The spelling of 7085315152656 in words is "seven trillion, eighty-five billion, three hundred fifteen million, one hundred fifty-two thousand, six hundred fifty-six".