88963252224000 has 3648 divisors, whose sum is σ = 397422766420992. Its totient is φ = 17439916032000.

The previous prime is 88963252223987. The next prime is 88963252224001. The reversal of 88963252224000 is 42225236988.

It is not an unprimeable number, because it can be changed into a prime (88963252224001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1218674687964 + ... + 1218674688036.

It is an arithmetic number, because the mean of its divisors is an integer number (108942644304).

Almost surely, 2^{88963252224000} is an apocalyptic number.

88963252224000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88963252224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198711383210496).

88963252224000 is an abundant number, since it is smaller than the sum of its proper divisors (308459514196992).

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

88963252224000 is an equidigital number, since it uses as much as digits as its factorization.

88963252224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 88963252224000 in words is "eighty-eight trillion, nine hundred sixty-three billion, two hundred fifty-two million, two hundred twenty-four thousand".