88098813000 has 512 divisors, whose sum is σ = 342221068800. Its totient is φ = 20777472000.

The previous prime is 88098812999. The next prime is 88098813001. The reversal of 88098813000 is 31889088.

It is an interprime number because it is at equal distance from previous prime (88098812999) and next prime (88098813001).

It is a super-2 number, since 2×88098813000² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (88098813001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10984992 + ... + 10993008.

It is an arithmetic number, because the mean of its divisors is an integer number (668400525).

Almost surely, 2^88098813000 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 88098813000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171110534400).

88098813000 is an abundant number, since it is smaller than the sum of its proper divisors (254122255800).

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

88098813000 is a wasteful number, since it uses less digits than its factorization.

88098813000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8095 (or 8075 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 88098813000 in words is "eighty-eight billion, ninety-eight million, eight hundred thirteen thousand".