88268042968800 has 864 divisors, whose sum is σ = 308427408882432. Its totient is φ = 21908597760000.

The previous prime is 88268042968711. The next prime is 88268042968901. The reversal of 88268042968800 is 886924086288.

It is a super-4 number, since 4×88268042968800⁴ (a number of 57 digits) contains 4444 as substring.

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 6713923827 + ... + 6713936973.

It is an arithmetic number, because the mean of its divisors is an integer number (356976167688).

Almost surely, 2^{88268042968800} is an apocalyptic number.

88268042968800 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 88268042968800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154213704441216).

88268042968800 is an abundant number, since it is smaller than the sum of its proper divisors (220159365913632).

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

88268042968800 is a wasteful number, since it uses less digits than its factorization.

88268042968800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13344 (or 13300 counting only the distinct ones).

The product of its (nonzero) digits is 169869312, while the sum is 69.

The spelling of 88268042968800 in words is "eighty-eight trillion, two hundred sixty-eight billion, forty-two million, nine hundred sixty-eight thousand, eight hundred".