87822822235008 has 768 divisors, whose sum is σ = 276659478374400. Its totient is φ = 24609186201600.

The previous prime is 87822822235007. The next prime is 87822822235009. The reversal of 87822822235008 is 80053222822878.

It is an interprime number because it is at equal distance from previous prime (87822822235007) and next prime (87822822235009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87822822235003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 88620405393 + ... + 88620406383.

It is an arithmetic number, because the mean of its divisors is an integer number (360233695800).

Almost surely, 2^{87822822235008} 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 87822822235008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138329739187200).

87822822235008 is an abundant number, since it is smaller than the sum of its proper divisors (188836656139392).

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

87822822235008 is a wasteful number, since it uses less digits than its factorization.

87822822235008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1520 counting only the distinct ones).

The product of its (nonzero) digits is 13762560, while the sum is 57.

The spelling of 87822822235008 in words is "eighty-seven trillion, eight hundred twenty-two billion, eight hundred twenty-two million, two hundred thirty-five thousand, eight".