700145107200 has 1944 divisors, whose sum is σ = 3197292693504. Its totient is φ = 143061811200.

The previous prime is 700145107187. The next prime is 700145107201. The reversal of 700145107200 is 2701541007.

700145107200 is a `hidden beast` number, since 7 + 0 + 0 + 1 + 451 + 0 + 7 + 200 = 666.

It is a super-2 number, since 2×700145107200² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (700145107201) 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 215 ways as a sum of consecutive naturals, for example, 5512953537 + ... + 5512953663.

Almost surely, 2^700145107200 is an apocalyptic number.

700145107200 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 700145107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598646346752).

700145107200 is an abundant number, since it is smaller than the sum of its proper divisors (2497147586304).

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

700145107200 is a wasteful number, since it uses less digits than its factorization.

700145107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

Adding to 700145107200 its reverse (2701541007), we get a palindrome (702846648207).

The spelling of 700145107200 in words is "seven hundred billion, one hundred forty-five million, one hundred seven thousand, two hundred".