95545661481600 has 384 divisors, whose sum is σ = 343370480650560. Its totient is φ = 23158702080000.

The previous prime is 95545661481577. The next prime is 95545661481667. The reversal of 95545661481600 is 618416654559.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 656864880 + ... + 657010320.

Almost surely, 2^{95545661481600} 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 95545661481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171685240325280).

95545661481600 is an abundant number, since it is smaller than the sum of its proper divisors (247824819168960).

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

95545661481600 is a wasteful number, since it uses less digits than its factorization.

95545661481600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151700 (or 151683 counting only the distinct ones).

The product of its (nonzero) digits is 31104000, while the sum is 60.

The spelling of 95545661481600 in words is "ninety-five trillion, five hundred forty-five billion, six hundred sixty-one million, four hundred eighty-one thousand, six hundred".