95987408323680 has 576 divisors, whose sum is σ = 336183613496640. Its totient is φ = 24931152691200.

The previous prime is 95987408323661. The next prime is 95987408323789. The reversal of 95987408323680 is 8632380478959.

95987408323680 is a `hidden beast` number, since 9 + 5 + 9 + 87 + 408 + 32 + 36 + 80 = 666.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 95987408323599 and 95987408323608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12496729440 + ... + 12496737120.

It is an arithmetic number, because the mean of its divisors is an integer number (583652106765).

Almost surely, 2^{95987408323680} is an apocalyptic number.

95987408323680 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 95987408323680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168091806748320).

95987408323680 is an abundant number, since it is smaller than the sum of its proper divisors (240196205172960).

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

95987408323680 is a wasteful number, since it uses less digits than its factorization.

95987408323680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9135 (or 9124 counting only the distinct ones).

The product of its (nonzero) digits is 627056640, while the sum is 72.

The spelling of 95987408323680 in words is "ninety-five trillion, nine hundred eighty-seven billion, four hundred eight million, three hundred twenty-three thousand, six hundred eighty".