87522301440 has 960 divisors, whose sum is σ = 364626662400. Its totient is φ = 19707494400.

The previous prime is 87522301417. The next prime is 87522301453. The reversal of 87522301440 is 4410322578.

It is a happy number.

87522301440 is a `hidden beast` number, since 87 + 522 + 3 + 0 + 14 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 87522301395 and 87522301404.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 439810461 + ... + 439810659.

It is an arithmetic number, because the mean of its divisors is an integer number (379819440).

Almost surely, 2^87522301440 is an apocalyptic number.

87522301440 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 87522301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182313331200).

87522301440 is an abundant number, since it is smaller than the sum of its proper divisors (277104360960).

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

87522301440 is a wasteful number, since it uses less digits than its factorization.

87522301440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 87522301440 in words is "eighty-seven billion, five hundred twenty-two million, three hundred one thousand, four hundred forty".