95742381600 has 216 divisors, whose sum is σ = 357471534420. Its totient is φ = 24029429760.

The previous prime is 95742381577. The next prime is 95742381607. The reversal of 95742381600 is 618324759.

95742381600 is a `hidden beast` number, since 9 + 5 + 7 + 4 + 2 + 38 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20115181584 + 75627200016 = 141828^2 + 275004^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (95742381607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 268705 + ... + 513504.

It is a 1-persistent number, because it is pandigital, but 2⋅95742381600 = 191484763200 is not.

Almost surely, 2^95742381600 is an apocalyptic number.

95742381600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

95742381600 is an abundant number, since it is smaller than the sum of its proper divisors (261729152820).

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

95742381600 is a wasteful number, since it uses less digits than its factorization.

95742381600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 782252 (or 782236 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 95742381600 in words is "ninety-five billion, seven hundred forty-two million, three hundred eighty-one thousand, six hundred".