88264375404192 has 768 divisors, whose sum is σ = 287493276672000. Its totient is φ = 26174410149888.

The previous prime is 88264375404131. The next prime is 88264375404241. The reversal of 88264375404192 is 29140457346288.

88264375404192 is a `hidden beast` number, since 8 + 8 + 2 + 6 + 4 + 37 + 5 + 404 + 192 = 666.

88264375404192 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 15116348409 + ... + 15116354247.

It is an arithmetic number, because the mean of its divisors is an integer number (374340204000).

It is a 1-persistent number, because it is pandigital, but 2⋅88264375404192 = 176528750808384 is not.

Almost surely, 2^{88264375404192} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88264375404192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143746638336000).

88264375404192 is an abundant number, since it is smaller than the sum of its proper divisors (199228901267808).

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

88264375404192 is a wasteful number, since it uses less digits than its factorization.

88264375404192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6370 (or 6356 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 88264375404192 in words is "eighty-eight trillion, two hundred sixty-four billion, three hundred seventy-five million, four hundred four thousand, one hundred ninety-two".