95560148736 has 288 divisors, whose sum is σ = 304918360320. Its totient is φ = 29345918976.

The previous prime is 95560148659. The next prime is 95560148779. The reversal of 95560148736 is 63784106559.

95560148736 is a `hidden beast` number, since 9 + 5 + 560 + 1 + 4 + 8 + 73 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 85093071 + ... + 85094193.

Almost surely, 2^95560148736 is an apocalyptic number.

95560148736 is a gapful number since it is divisible by the number (96) 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 95560148736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152459180160).

95560148736 is an abundant number, since it is smaller than the sum of its proper divisors (209358211584).

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

95560148736 is a wasteful number, since it uses less digits than its factorization.

95560148736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2108 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 95560148736 in words is "ninety-five billion, five hundred sixty million, one hundred forty-eight thousand, seven hundred thirty-six".