87094875248640 has 2304 divisors, whose sum is σ = 378144643968000. Its totient is φ = 18859642159104.

The previous prime is 87094875248599. The next prime is 87094875248669. The reversal of 87094875248640 is 4684257849078.

87094875248640 is a `hidden beast` number, since 8 + 7 + 0 + 9 + 487 + 5 + 24 + 86 + 40 = 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 (72).

It is a congruent number.

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, 4583940802551 + ... + 4583940802569.

It is an arithmetic number, because the mean of its divisors is an integer number (164125279500).

Almost surely, 2^{87094875248640} is an apocalyptic number.

87094875248640 is a gapful number since it is divisible by the number (80) 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 87094875248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189072321984000).

87094875248640 is an abundant number, since it is smaller than the sum of its proper divisors (291049768719360).

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

87094875248640 is an frugal number, since it uses more digits than its factorization.

87094875248640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 36 counting only the distinct ones).

The product of its (nonzero) digits is 867041280, while the sum is 72.

The spelling of 87094875248640 in words is "eighty-seven trillion, ninety-four billion, eight hundred seventy-five million, two hundred forty-eight thousand, six hundred forty".