95019619968 has 960 divisors, whose sum is σ = 358482769920. Its totient is φ = 24455208960.

The previous prime is 95019619897. The next prime is 95019619999. The reversal of 95019619968 is 86991691059.

It is a happy number.

95019619968 is a `hidden beast` number, since 9 + 5 + 0 + 1 + 9 + 619 + 9 + 6 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 748185921 + ... + 748186047.

It is an arithmetic number, because the mean of its divisors is an integer number (373419552).

Almost surely, 2^95019619968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95019619968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179241384960).

95019619968 is an abundant number, since it is smaller than the sum of its proper divisors (263463149952).

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

95019619968 is a wasteful number, since it uses less digits than its factorization.

95019619968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 9447840, while the sum is 63.

The spelling of 95019619968 in words is "ninety-five billion, nineteen million, six hundred nineteen thousand, nine hundred sixty-eight".