87597161478144 has 288 divisors, whose sum is σ = 258433384023360. Its totient is φ = 28571848409088.

The previous prime is 87597161478107. The next prime is 87597161478199. The reversal of 87597161478144 is 44187416179578.

87597161478144 is a `hidden beast` number, since 8 + 7 + 5 + 9 + 7 + 1 + 6 + 1 + 478 + 144 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6425369952 + ... + 6425383584.

It is an arithmetic number, because the mean of its divisors is an integer number (897338138970).

Almost surely, 2^{87597161478144} 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 87597161478144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129216692011680).

87597161478144 is an abundant number, since it is smaller than the sum of its proper divisors (170836222545216).

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

87597161478144 is a wasteful number, since it uses less digits than its factorization.

87597161478144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21125 (or 21102 counting only the distinct ones).

The product of its digits is 379330560, while the sum is 72.

The spelling of 87597161478144 in words is "eighty-seven trillion, five hundred ninety-seven billion, one hundred sixty-one million, four hundred seventy-eight thousand, one hundred forty-four".