87253549344 has 288 divisors, whose sum is σ = 276619359744. Its totient is φ = 25907281920.

The previous prime is 87253549343. The next prime is 87253549423. The reversal of 87253549344 is 44394535278.

87253549344 is a `hidden beast` number, since 8 + 7 + 2 + 53 + 549 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×87253549344² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (87253549343) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 51415504 + ... + 51417200.

It is an arithmetic number, because the mean of its divisors is an integer number (960483888).

Almost surely, 2^87253549344 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 87253549344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138309679872).

87253549344 is an abundant number, since it is smaller than the sum of its proper divisors (189365810400).

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

87253549344 is a wasteful number, since it uses less digits than its factorization.

87253549344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200 (or 2189 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The spelling of 87253549344 in words is "eighty-seven billion, two hundred fifty-three million, five hundred forty-nine thousand, three hundred forty-four".