235842048000 has 1248 divisors, whose sum is σ = 952561139712. Its totient is φ = 55738368000.

The previous prime is 235842047953. The next prime is 235842048017. The reversal of 235842048000 is 840248532.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1857023937 + ... + 1857024063.

It is an arithmetic number, because the mean of its divisors is an integer number (763270144).

Almost surely, 2^235842048000 is an apocalyptic number.

235842048000 is a gapful number since it is divisible by the number (20) 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 235842048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476280569856).

235842048000 is an abundant number, since it is smaller than the sum of its proper divisors (716719091712).

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

235842048000 is a wasteful number, since it uses less digits than its factorization.

235842048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 235842048000 in words is "two hundred thirty-five billion, eight hundred forty-two million, forty-eight thousand".