95655417661440 has 2304 divisors, whose sum is σ = 436824175656960. Its totient is φ = 19529768632320.

The previous prime is 95655417661423. The next prime is 95655417661469. The reversal of 95655417661440 is 4416671455659.

95655417661440 is a `hidden beast` number, since 9 + 5 + 6 + 5 + 5 + 4 + 1 + 7 + 6 + 614 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7019543907 + ... + 7019557533.

It is an arithmetic number, because the mean of its divisors is an integer number (189593826240).

Almost surely, 2^{95655417661440} is an apocalyptic number.

95655417661440 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 95655417661440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218412087828480).

95655417661440 is an abundant number, since it is smaller than the sum of its proper divisors (341168757995520).

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

95655417661440 is a wasteful number, since it uses less digits than its factorization.

95655417661440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13720 (or 13688 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 95655417661440 in words is "ninety-five trillion, six hundred fifty-five billion, four hundred seventeen million, six hundred sixty-one thousand, four hundred forty".