87822146880 has 672 divisors, whose sum is σ = 355634592768. Its totient is φ = 19685376000.

The previous prime is 87822146861. The next prime is 87822146917. The reversal of 87822146880 is 8864122878.

87822146880 is a `hidden beast` number, since 8 + 7 + 82 + 21 + 468 + 80 = 666.

It is a super-2 number, since 2×87822146880² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19728655 + ... + 19733105.

It is an arithmetic number, because the mean of its divisors is an integer number (529218144).

Almost surely, 2^87822146880 is an apocalyptic number.

87822146880 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 87822146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177817296384).

87822146880 is an abundant number, since it is smaller than the sum of its proper divisors (267812445888).

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

87822146880 is a wasteful number, since it uses less digits than its factorization.

87822146880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4535 (or 4522 counting only the distinct ones).

The product of its (nonzero) digits is 2752512, while the sum is 54.

The spelling of 87822146880 in words is "eighty-seven billion, eight hundred twenty-two million, one hundred forty-six thousand, eight hundred eighty".