88400400800821 has 2 divisors, whose sum is σ = 88400400800822. Its totient is φ = 88400400800820.

The previous prime is 88400400800801. The next prime is 88400400800837. The reversal of 88400400800821 is 12800800400488.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 85847081236900 + 2553319563921 = 9265370^2 + 1597911^2 .

It is a cyclic number.

It is not a de Polignac number, because 88400400800821 - 2⁷ = 88400400800693 is a prime.

It is a super-2 number, since 2×88400400800821² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (88400400800801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 44200200400410 + 44200200400411.

It is an arithmetic number, because the mean of its divisors is an integer number (44200200400411).

Almost surely, 2^{88400400800821} is an apocalyptic number.

It is an amenable number.

88400400800821 is a deficient number, since it is larger than the sum of its proper divisors (1).

88400400800821 is an equidigital number, since it uses as much as digits as its factorization.

88400400800821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 131072, while the sum is 43.

The spelling of 88400400800821 in words is "eighty-eight trillion, four hundred billion, four hundred million, eight hundred thousand, eight hundred twenty-one".