88701288480 has 1152 divisors, whose sum is σ = 380414361600. Its totient is φ = 18376630272.

The previous prime is 88701288461. The next prime is 88701288491. The reversal of 88701288480 is 8488210788.

88701288480 is a `hidden beast` number, since 8 + 8 + 70 + 12 + 88 + 480 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 531145357 + ... + 531145523.

It is an arithmetic number, because the mean of its divisors is an integer number (330220800).

Almost surely, 2^88701288480 is an apocalyptic number.

88701288480 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 88701288480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190207180800).

88701288480 is an abundant number, since it is smaller than the sum of its proper divisors (291713073120).

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

88701288480 is a wasteful number, since it uses less digits than its factorization.

88701288480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 88701288480 in words is "eighty-eight billion, seven hundred one million, two hundred eighty-eight thousand, four hundred eighty".