95198556240720 has 1280 divisors, whose sum is σ = 351775759196160. Its totient is φ = 23611159756800.

The previous prime is 95198556240707. The next prime is 95198556240757. The reversal of 95198556240720 is 2704265589159.

95198556240720 is a `hidden beast` number, since 9 + 5 + 1 + 9 + 8 + 5 + 562 + 40 + 7 + 20 = 666.

It is a super-2 number, since 2×95198556240720² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 193887079675 + ... + 193887080165.

It is an arithmetic number, because the mean of its divisors is an integer number (274824811872).

Almost surely, 2^{95198556240720} is an apocalyptic number.

95198556240720 is a gapful number since it is divisible by the number (90) 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 95198556240720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175887879598080).

95198556240720 is an abundant number, since it is smaller than the sum of its proper divisors (256577202955440).

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

95198556240720 is a wasteful number, since it uses less digits than its factorization.

95198556240720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1201 (or 1189 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 95198556240720 in words is "ninety-five trillion, one hundred ninety-eight billion, five hundred fifty-six million, two hundred forty thousand, seven hundred twenty".