95625216000 has 408 divisors, whose sum is σ = 345023960424. Its totient is φ = 25480396800.

The previous prime is 95625215999. The next prime is 95625216101. The reversal of 95625216000 is 61252659.

95625216000 is a `hidden beast` number, since 9 + 5 + 6 + 25 + 21 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2194735104 + 93430480896 = 46848^2 + 305664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73727352 + ... + 73728648.

Almost surely, 2^95625216000 is an apocalyptic number.

95625216000 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 95625216000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172511980212).

95625216000 is an abundant number, since it is smaller than the sum of its proper divisors (249398744424).

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

95625216000 is an equidigital number, since it uses as much as digits as its factorization.

95625216000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 95625216000 its reverse (61252659), we get a palindrome (95686468659).

The spelling of 95625216000 in words is "ninety-five billion, six hundred twenty-five million, two hundred sixteen thousand".