87601353120 has 96 divisors (see below), whose sum is σ = 306604751040. Its totient is φ = 23360359680.

The previous prime is 87601353113. The next prime is 87601353121. The reversal of 87601353120 is 2135310678.

87601353120 is a `hidden beast` number, since 8 + 7 + 601 + 35 + 3 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (87601353121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10134726 + ... + 10143365.

It is an arithmetic number, because the mean of its divisors is an integer number (3193799490).

Almost surely, 2^87601353120 is an apocalyptic number.

87601353120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

87601353120 is an abundant number, since it is smaller than the sum of its proper divisors (219003397920).

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

87601353120 is a wasteful number, since it uses less digits than its factorization.

87601353120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20278115 (or 20278101 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 87601353120 its reverse (2135310678), we get a palindrome (89736663798).

The spelling of 87601353120 in words is "eighty-seven billion, six hundred one million, three hundred fifty-three thousand, one hundred twenty".