88082938399104 has 96 divisors (see below), whose sum is σ = 276510360639240. Its totient is φ = 26691799511040.

The previous prime is 88082938399051. The next prime is 88082938399163. The reversal of 88082938399104 is 40199383928088.

88082938399104 is a `hidden beast` number, since 8 + 80 + 8 + 29 + 38 + 399 + 104 = 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 (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3475482057 + ... + 3475507400.

Almost surely, 2^{88082938399104} is an apocalyptic number.

It is an amenable number.

88082938399104 is an abundant number, since it is smaller than the sum of its proper divisors (188427422240136).

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

88082938399104 is a wasteful number, since it uses less digits than its factorization.

88082938399104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6950989488 (or 6950989473 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 88082938399104 in words is "eighty-eight trillion, eighty-two billion, nine hundred thirty-eight million, three hundred ninety-nine thousand, one hundred four".