95342068483200 has 3072 divisors, whose sum is σ = 464487013785600. Its totient is φ = 18643289702400.

The previous prime is 95342068483133. The next prime is 95342068483267. The reversal of 95342068483200 is 238486024359.

95342068483200 is a `hidden beast` number, since 9 + 5 + 3 + 420 + 6 + 8 + 4 + 8 + 3 + 200 = 666.

It is an interprime number because it is at equal distance from previous prime (95342068483133) and next prime (95342068483267).

It is a super-2 number, since 2×95342068483200² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13684806117 + ... + 13684813083.

It is an arithmetic number, because the mean of its divisors is an integer number (151200199800).

Almost surely, 2^{95342068483200} is an apocalyptic number.

95342068483200 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 95342068483200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232243506892800).

95342068483200 is an abundant number, since it is smaller than the sum of its proper divisors (369144945302400).

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

95342068483200 is a wasteful number, since it uses less digits than its factorization.

95342068483200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7057 (or 7012 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 95342068483200 in words is "ninety-five trillion, three hundred forty-two billion, sixty-eight million, four hundred eighty-three thousand, two hundred".