88219872000000 has 1008 divisors, whose sum is σ = 343003686840360. Its totient is φ = 21714739200000.

The previous prime is 88219871999993. The next prime is 88219872000017. The reversal of 88219872000000 is 27891288.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 88219872000000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 3743988219 + ... + 3744011781.

Almost surely, 2^{88219872000000} is an apocalyptic number.

88219872000000 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 88219872000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171501843420180).

88219872000000 is an abundant number, since it is smaller than the sum of its proper divisors (254783814840360).

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

88219872000000 is an equidigital number, since it uses as much as digits as its factorization.

88219872000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23634 (or 23586 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

Adding to 88219872000000 its reverse (27891288), we get a palindrome (88219899891288).

The spelling of 88219872000000 in words is "eighty-eight trillion, two hundred nineteen billion, eight hundred seventy-two million", and thus it is an aban number.