88068786624000 has 3840 divisors, whose sum is σ = 429122684390400. Its totient is φ = 17599389696000.

The previous prime is 88068786623929. The next prime is 88068786624031. The reversal of 88068786624000 is 42668786088.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-2 number, since 2×88068786624000² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20913981895 + ... + 20913986105.

It is an arithmetic number, because the mean of its divisors is an integer number (111750699060).

Almost surely, 2^{88068786624000} is an apocalyptic number.

88068786624000 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 88068786624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214561342195200).

88068786624000 is an abundant number, since it is smaller than the sum of its proper divisors (341053897766400).

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

88068786624000 is a wasteful number, since it uses less digits than its factorization.

88068786624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4299 (or 4260 counting only the distinct ones).

The product of its (nonzero) digits is 49545216, while the sum is 63.

The spelling of 88068786624000 in words is "eighty-eight trillion, sixty-eight billion, seven hundred eighty-six million, six hundred twenty-four thousand".