87211705439232 has 1320 divisors, whose sum is σ = 291737637576000. Its totient is φ = 25927179632640.

The previous prime is 87211705439203. The next prime is 87211705439233. The reversal of 87211705439232 is 23293450711278.

87211705439232 is a `hidden beast` number, since 8 + 7 + 2 + 1 + 1 + 7 + 0 + 543 + 92 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87211705439233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 145595501269 + ... + 145595501867.

It is an arithmetic number, because the mean of its divisors is an integer number (221013361800).

Almost surely, 2^{87211705439232} 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 87211705439232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145868818788000).

87211705439232 is an abundant number, since it is smaller than the sum of its proper divisors (204525932136768).

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

87211705439232 is a wasteful number, since it uses less digits than its factorization.

87211705439232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 87211705439232 in words is "eighty-seven trillion, two hundred eleven billion, seven hundred five million, four hundred thirty-nine thousand, two hundred thirty-two".