207085746960 has 560 divisors, whose sum is σ = 780566736960. Its totient is φ = 50892364800.

The previous prime is 207085746913. The next prime is 207085747007. The reversal of 207085746960 is 69647580702.

207085746960 is a `hidden beast` number, since 2 + 0 + 7 + 0 + 8 + 574 + 6 + 9 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (207085746913) and next prime (207085747007).

It is a super-2 number, since 2×207085746960² (a number of 23 digits) contains 22 as substring.

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 = 207085746897 and 207085746906.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40996435 + ... + 41001485.

Almost surely, 2^207085746960 is an apocalyptic number.

207085746960 is a gapful number since it is divisible by the number (20) 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 207085746960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (390283368480).

207085746960 is an abundant number, since it is smaller than the sum of its proper divisors (573480990000).

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

207085746960 is a wasteful number, since it uses less digits than its factorization.

207085746960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5117 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 207085746960 in words is "two hundred seven billion, eighty-five million, seven hundred forty-six thousand, nine hundred sixty".