87325160832 has 1024 divisors, whose sum is σ = 335591424000. Its totient is φ = 21867356160.

The previous prime is 87325160777. The next prime is 87325160861. The reversal of 87325160832 is 23806152378.

87325160832 is a `hidden beast` number, since 8 + 7 + 3 + 2 + 5 + 1 + 608 + 32 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1647644518 + ... + 1647644570.

It is an arithmetic number, because the mean of its divisors is an integer number (327726000).

Almost surely, 2^87325160832 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 87325160832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167795712000).

87325160832 is an abundant number, since it is smaller than the sum of its proper divisors (248266263168).

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

87325160832 is a wasteful number, since it uses less digits than its factorization.

87325160832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 87325160832 in words is "eighty-seven billion, three hundred twenty-five million, one hundred sixty thousand, eight hundred thirty-two".