88232008135680 has 264 divisors, whose sum is σ = 310733450060904. Its totient is φ = 23142821068800.

The previous prime is 88232008135679. The next prime is 88232008135763. The reversal of 88232008135680 is 8653180023288.

88232008135680 is a `hidden beast` number, since 8 + 8 + 2 + 3 + 200 + 8 + 1 + 356 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5744343453696 + 82487664681984 = 2396736^2 + 9082272^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12883851 + ... + 18505610.

Almost surely, 2^{88232008135680} is an apocalyptic number.

88232008135680 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88232008135680 is an abundant number, since it is smaller than the sum of its proper divisors (222501441925224).

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

88232008135680 is a wasteful number, since it uses less digits than its factorization.

88232008135680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31389553 (or 31389532 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 88232008135680 in words is "eighty-eight trillion, two hundred thirty-two billion, eight million, one hundred thirty-five thousand, six hundred eighty".