88005435840 has 336 divisors, whose sum is σ = 346800342720. Its totient is φ = 20065812480.

The previous prime is 88005435823. The next prime is 88005435853. The reversal of 88005435840 is 4853450088.

It is a tau number, because it is divible by the number of its divisors (336).

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 47 ways as a sum of consecutive naturals, for example, 8482176 + ... + 8492544.

Almost surely, 2^88005435840 is an apocalyptic number.

88005435840 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 88005435840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173400171360).

88005435840 is an abundant number, since it is smaller than the sum of its proper divisors (258794906880).

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

88005435840 is a wasteful number, since it uses less digits than its factorization.

88005435840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 10807 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 88005435840 in words is "eighty-eight billion, five million, four hundred thirty-five thousand, eight hundred forty".