88321006080 has 240 divisors, whose sum is σ = 313344335304. Its totient is φ = 22977576960.

The previous prime is 88321006079. The next prime is 88321006087. The reversal of 88321006080 is 8060012388.

88321006080 is a `hidden beast` number, since 8 + 8 + 32 + 10 + 0 + 608 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 63093401856 + 25227604224 = 251184^2 + 158832^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×88321006080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (88321006087) 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 23 ways as a sum of consecutive naturals, for example, 897892 + ... + 991388.

Almost surely, 2^88321006080 is an apocalyptic number.

88321006080 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 88321006080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156672167652).

88321006080 is an abundant number, since it is smaller than the sum of its proper divisors (225023329224).

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

88321006080 is a wasteful number, since it uses less digits than its factorization.

88321006080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93567 (or 93548 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 88321006080 in words is "eighty-eight billion, three hundred twenty-one million, six thousand, eighty".