96035509440 has 672 divisors, whose sum is σ = 372227002560. Its totient is φ = 23169908736.

The previous prime is 96035509411. The next prime is 96035509447. The reversal of 96035509440 is 4490553069.

96035509440 is a `hidden beast` number, since 9 + 6 + 0 + 3 + 550 + 94 + 4 + 0 = 666.

It is a super-2 number, since 2×96035509440² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96035509447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 700989052 + ... + 700989188.

It is an arithmetic number, because the mean of its divisors is an integer number (553909230).

Almost surely, 2^96035509440 is an apocalyptic number.

96035509440 is a gapful number since it is divisible by the number (90) 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 96035509440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186113501280).

96035509440 is an abundant number, since it is smaller than the sum of its proper divisors (276191493120).

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

96035509440 is a wasteful number, since it uses less digits than its factorization.

96035509440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 96035509440 in words is "ninety-six billion, thirty-five million, five hundred nine thousand, four hundred forty".