88121144406800 has 60 divisors (see below), whose sum is σ = 211712164715316. Its totient is φ = 35248272076800.

The previous prime is 88121144406797. The next prime is 88121144406817. The reversal of 88121144406800 is 860444112188.

It can be written as a sum of positive squares in 6 ways, for example, as 8732474165776 + 79388670241024 = 2955076^2 + 8910032^2 .

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 11 ways as a sum of consecutive naturals, for example, 95171672 + ... + 96093128.

Almost surely, 2^{88121144406800} is an apocalyptic number.

88121144406800 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

88121144406800 is an abundant number, since it is smaller than the sum of its proper divisors (123591020308516).

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

88121144406800 is a wasteful number, since it uses less digits than its factorization.

88121144406800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1160556 (or 1160545 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 47.

Adding to 88121144406800 its reverse (860444112188), we get a palindrome (88981588518988).

The spelling of 88121144406800 in words is "eighty-eight trillion, one hundred twenty-one billion, one hundred forty-four million, four hundred six thousand, eight hundred".