87363533054304 has 288 divisors, whose sum is σ = 271965429223488. Its totient is φ = 26437639680000.

The previous prime is 87363533054299. The next prime is 87363533054381. The reversal of 87363533054304 is 40345033536378.

87363533054304 is a `hidden beast` number, since 8 + 7 + 3 + 63 + 5 + 3 + 30 + 543 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3558438829 + ... + 3558463379.

It is an arithmetic number, because the mean of its divisors is an integer number (944324407026).

Almost surely, 2^{87363533054304} 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 87363533054304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135982714611744).

87363533054304 is an abundant number, since it is smaller than the sum of its proper divisors (184601896169184).

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

87363533054304 is a wasteful number, since it uses less digits than its factorization.

87363533054304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40222 (or 40211 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 54.

The spelling of 87363533054304 in words is "eighty-seven trillion, three hundred sixty-three billion, five hundred thirty-three million, fifty-four thousand, three hundred four".