88384020480 has 896 divisors, whose sum is σ = 368027712000. Its totient is φ = 20115357696.

The previous prime is 88384020443. The next prime is 88384020551. The reversal of 88384020480 is 8402048388.

It is a happy number.

88384020480 is a `hidden beast` number, since 88 + 38 + 40 + 20 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 379330444 + ... + 379330676.

Almost surely, 2^88384020480 is an apocalyptic number.

88384020480 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 88384020480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184013856000).

88384020480 is an abundant number, since it is smaller than the sum of its proper divisors (279643691520).

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

88384020480 is an equidigital number, since it uses as much as digits as its factorization.

88384020480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 88384020480 in words is "eighty-eight billion, three hundred eighty-four million, twenty thousand, four hundred eighty".