87604561941696 has 560 divisors, whose sum is σ = 275624592869600. Its totient is φ = 27285631405056.

The previous prime is 87604561941679. The next prime is 87604561941707. The reversal of 87604561941696 is 69614916540678.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

87604561941696 is a `hidden beast` number, since 8 + 7 + 6 + 0 + 456 + 1 + 9 + 4 + 169 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 87604561941696 = 5548³ + 44384³ = 24966³ + 41610³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1200062492316 + ... + 1200062492388.

Almost surely, 2^{87604561941696} 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 87604561941696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137812296434800).

87604561941696 is an abundant number, since it is smaller than the sum of its proper divisors (188020030927904).

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

87604561941696 is an frugal number, since it uses more digits than its factorization.

87604561941696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 87604561941696 in words is "eighty-seven trillion, six hundred four billion, five hundred sixty-one million, nine hundred forty-one thousand, six hundred ninety-six".