70623009565056 has 1536 divisors, whose sum is σ = 246649620672000. Its totient is φ = 19927501701120.

The previous prime is 70623009565051. The next prime is 70623009565067. The reversal of 70623009565056 is 65056590032607.

It is a happy number.

70623009565056 is a `hidden beast` number, since 7 + 0 + 6 + 23 + 0 + 0 + 9 + 565 + 0 + 56 = 666.

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 = 70623009564993 and 70623009565011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (70623009565051) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 43783638106 + ... + 43783639718.

It is an arithmetic number, because the mean of its divisors is an integer number (160579180125).

Almost surely, 2^{70623009565056} is an apocalyptic number.

70623009565056 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 70623009565056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123324810336000).

70623009565056 is an abundant number, since it is smaller than the sum of its proper divisors (176026611106944).

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

70623009565056 is a wasteful number, since it uses less digits than its factorization.

70623009565056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1854 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 10206000, while the sum is 54.

The spelling of 70623009565056 in words is "seventy trillion, six hundred twenty-three billion, nine million, five hundred sixty-five thousand, fifty-six".