88035820460280 has 768 divisors, whose sum is σ = 362711717821440. Its totient is φ = 17985958502400.

The previous prime is 88035820460267. The next prime is 88035820460317. The reversal of 88035820460280 is 8206402853088.

88035820460280 is a `hidden beast` number, since 8 + 8 + 0 + 3 + 5 + 8 + 20 + 4 + 602 + 8 + 0 = 666.

It is a super-2 number, since 2×88035820460280² (a number of 29 digits) contains 22 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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4807276404 + ... + 4807294716.

It is an arithmetic number, because the mean of its divisors is an integer number (472280882580).

Almost surely, 2^{88035820460280} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88035820460280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181355858910720).

88035820460280 is an abundant number, since it is smaller than the sum of its proper divisors (274675897361160).

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

88035820460280 is a wasteful number, since it uses less digits than its factorization.

88035820460280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21252 (or 21245 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 88035820460280 in words is "eighty-eight trillion, thirty-five billion, eight hundred twenty million, four hundred sixty thousand, two hundred eighty".