87623528233536 has 189 divisors, whose sum is σ = 266811650051401. Its totient is φ = 27488536172544.

The previous prime is 87623528233531. The next prime is 87623528233541. The reversal of 87623528233536 is 63533282532678.

The square root of 87623528233536 is 9360744.

It is a perfect power (a square), and thus also a powerful number.

87623528233536 is a `hidden beast` number, since 8 + 7 + 6 + 23 + 52 + 8 + 23 + 3 + 536 = 666.

It is an interprime number because it is at equal distance from previous prime (87623528233531) and next prime (87623528233541).

It can be written as a sum of positive squares in only one way, i.e., 68219009870400 + 19404518363136 = 8259480^2 + 4405056^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87623528233531) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3819172081 + ... + 3819195023.

Almost surely, 2^{87623528233536} is an apocalyptic number.

87623528233536 is the 9360744-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87623528233536

87623528233536 is an abundant number, since it is smaller than the sum of its proper divisors (179188121817865).

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

87623528233536 is an frugal number, since it uses more digits than its factorization.

87623528233536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45938 (or 22965 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 63.

The spelling of 87623528233536 in words is "eighty-seven trillion, six hundred twenty-three billion, five hundred twenty-eight million, two hundred thirty-three thousand, five hundred thirty-six".