87252540480 has 672 divisors, whose sum is σ = 356806195200. Its totient is φ = 19150110720.

The previous prime is 87252540413. The next prime is 87252540493. The reversal of 87252540480 is 8404525278.

87252540480 is a `hidden beast` number, since 8 + 7 + 2 + 525 + 40 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×87252540480² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93118572 + ... + 93119508.

It is an arithmetic number, because the mean of its divisors is an integer number (530961600).

Almost surely, 2^87252540480 is an apocalyptic number.

87252540480 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 87252540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178403097600).

87252540480 is an abundant number, since it is smaller than the sum of its proper divisors (269553654720).

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

87252540480 is a wasteful number, since it uses less digits than its factorization.

87252540480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1147 (or 1134 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 87252540480 in words is "eighty-seven billion, two hundred fifty-two million, five hundred forty thousand, four hundred eighty".