87792102288 has 320 divisors, whose sum is σ = 286053120000. Its totient is φ = 25535623680.

The previous prime is 87792102199. The next prime is 87792102289. The reversal of 87792102288 is 88220129778.

87792102288 is a `hidden beast` number, since 87 + 79 + 210 + 2 + 288 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (87792102289) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24665853 + ... + 24669411.

It is an arithmetic number, because the mean of its divisors is an integer number (893916000).

Almost surely, 2^87792102288 is an apocalyptic number.

87792102288 is a gapful number since it is divisible by the number (88) 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 87792102288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143026560000).

87792102288 is an abundant number, since it is smaller than the sum of its proper divisors (198261017712).

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

87792102288 is a wasteful number, since it uses less digits than its factorization.

87792102288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3795 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 87792102288 in words is "eighty-seven billion, seven hundred ninety-two million, one hundred two thousand, two hundred eighty-eight".