88855885440 has 576 divisors, whose sum is σ = 364252412160. Its totient is φ = 20303198208.

The previous prime is 88855885411. The next prime is 88855885457. The reversal of 88855885440 is 4458855888.

88855885440 is a `hidden beast` number, since 8 + 8 + 8 + 5 + 5 + 88 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29391769 + ... + 29394791.

It is an arithmetic number, because the mean of its divisors is an integer number (632382660).

Almost surely, 2^88855885440 is an apocalyptic number.

88855885440 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 88855885440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182126206080).

88855885440 is an abundant number, since it is smaller than the sum of its proper divisors (275396526720).

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

88855885440 is an frugal number, since it uses more digits than its factorization.

88855885440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3073 (or 3040 counting only the distinct ones).

The product of its (nonzero) digits is 65536000, while the sum is 63.

The spelling of 88855885440 in words is "eighty-eight billion, eight hundred fifty-five million, eight hundred eighty-five thousand, four hundred forty".