87945026439168 has 576 divisors, whose sum is σ = 270243704203200. Its totient is φ = 27500196003840.

The previous prime is 87945026439167. The next prime is 87945026439181. The reversal of 87945026439168 is 86193462054978.

87945026439168 is a `hidden beast` number, since 8 + 7 + 9 + 4 + 5 + 0 + 26 + 439 + 168 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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 = 87945026439096 and 87945026439105.

It is not an unprimeable number, because it can be changed into a prime (87945026439167) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16039578955 + ... + 16039584437.

It is an arithmetic number, because the mean of its divisors is an integer number (469173097575).

It is a 1-persistent number, because it is pandigital, but 2⋅87945026439168 = 175890052878336 is not.

Almost surely, 2^{87945026439168} 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 87945026439168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135121852101600).

87945026439168 is an abundant number, since it is smaller than the sum of its proper divisors (182298677764032).

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

87945026439168 is a wasteful number, since it uses less digits than its factorization.

87945026439168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6388 (or 6365 counting only the distinct ones).

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

The spelling of 87945026439168 in words is "eighty-seven trillion, nine hundred forty-five billion, twenty-six million, four hundred thirty-nine thousand, one hundred sixty-eight".