95229872640 has 960 divisors, whose sum is σ = 411813642240. Its totient is φ = 20603289600.

The previous prime is 95229872627. The next prime is 95229872669. The reversal of 95229872640 is 4627892259.

95229872640 is a `hidden beast` number, since 9 + 522 + 9 + 8 + 72 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

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 95 ways as a sum of consecutive naturals, for example, 82736065 + ... + 82737215.

It is an arithmetic number, because the mean of its divisors is an integer number (428972544).

Almost surely, 2^95229872640 is an apocalyptic number.

95229872640 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 95229872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205906821120).

95229872640 is an abundant number, since it is smaller than the sum of its proper divisors (316583769600).

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

95229872640 is a wasteful number, since it uses less digits than its factorization.

95229872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1187 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 95229872640 in words is "ninety-five billion, two hundred twenty-nine million, eight hundred seventy-two thousand, six hundred forty".