70585065600 has 576 divisors, whose sum is σ = 274801072320. Its totient is φ = 15599001600.

The previous prime is 70585065599. The next prime is 70585065601. The reversal of 70585065600 is 656058507.

It is an interprime number because it is at equal distance from previous prime (70585065599) and next prime (70585065601).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (70585065601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 64578654 + ... + 64579746.

It is an arithmetic number, because the mean of its divisors is an integer number (477085195).

Almost surely, 2^70585065600 is an apocalyptic number.

70585065600 is a gapful number since it is divisible by the number (70) 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 70585065600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137400536160).

70585065600 is an abundant number, since it is smaller than the sum of its proper divisors (204216006720).

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

70585065600 is a wasteful number, since it uses less digits than its factorization.

70585065600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The spelling of 70585065600 in words is "seventy billion, five hundred eighty-five million, sixty-five thousand, six hundred".