88268590080 has 660 divisors, whose sum is σ = 347871437760. Its totient is φ = 21386280960.

The previous prime is 88268590057. The next prime is 88268590099. The reversal of 88268590080 is 8009586288.

It is a tau number, because it is divible by the number of its divisors (660).

It is a super-2 number, since 2×88268590080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 88268589999 and 88268590026.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 50180241 + ... + 50181999.

It is an arithmetic number, because the mean of its divisors is an integer number (527077936).

Almost surely, 2^88268590080 is an apocalyptic number.

88268590080 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 88268590080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173935718880).

88268590080 is an abundant number, since it is smaller than the sum of its proper divisors (259602847680).

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

88268590080 is a wasteful number, since it uses less digits than its factorization.

88268590080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1818 (or 1780 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 88268590080 in words is "eighty-eight billion, two hundred sixty-eight million, five hundred ninety thousand, eighty".