87505572024 has 160 divisors (see below), whose sum is σ = 275426917920. Its totient is φ = 25754091264.

The previous prime is 87505572023. The next prime is 87505572043. The reversal of 87505572024 is 42027550578.

87505572024 is a `hidden beast` number, since 8 + 7 + 50 + 5 + 572 + 0 + 24 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87505572023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 32067 + ... + 419570.

It is an arithmetic number, because the mean of its divisors is an integer number (1721418237).

Almost surely, 2^87505572024 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 87505572024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137713458960).

87505572024 is an abundant number, since it is smaller than the sum of its proper divisors (187921345896).

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

87505572024 is a wasteful number, since it uses less digits than its factorization.

87505572024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451691 (or 451678 counting only the distinct ones).

The product of its (nonzero) digits is 784000, while the sum is 45.

The spelling of 87505572024 in words is "eighty-seven billion, five hundred five million, five hundred seventy-two thousand, twenty-four".