88296889992192 has 880 divisors, whose sum is σ = 306684695982720. Its totient is φ = 24781278412800.

The previous prime is 88296889992187. The next prime is 88296889992193. The reversal of 88296889992192 is 29129998869288.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (88296889992193) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 41473408984 + ... + 41473411112.

It is an arithmetic number, because the mean of its divisors is an integer number (348505336344).

Almost surely, 2^{88296889992192} 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 88296889992192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153342347991360).

88296889992192 is an abundant number, since it is smaller than the sum of its proper divisors (218387805990528).

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

88296889992192 is a wasteful number, since it uses less digits than its factorization.

88296889992192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400 (or 3373 counting only the distinct ones).

The product of its digits is 11609505792, while the sum is 90.

The spelling of 88296889992192 in words is "eighty-eight trillion, two hundred ninety-six billion, eight hundred eighty-nine million, nine hundred ninety-two thousand, one hundred ninety-two".