87615129600 has 576 divisors, whose sum is σ = 327416544000. Its totient is φ = 22958899200.

The previous prime is 87615129599. The next prime is 87615129607. The reversal of 87615129600 is 692151678.

87615129600 is a `hidden beast` number, since 8 + 7 + 6 + 15 + 1 + 29 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (87615129607) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 84325881 + ... + 84326919.

It is an arithmetic number, because the mean of its divisors is an integer number (568431500).

Almost surely, 2^87615129600 is an apocalyptic number.

87615129600 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 87615129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163708272000).

87615129600 is an abundant number, since it is smaller than the sum of its proper divisors (239801414400).

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

87615129600 is a wasteful number, since it uses less digits than its factorization.

87615129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1110 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 87615129600 in words is "eighty-seven billion, six hundred fifteen million, one hundred twenty-nine thousand, six hundred".