235475234129520 has 3600 divisors, whose sum is σ = 1112346797373504. Its totient is φ = 45166657536000.

The previous prime is 235475234129519. The next prime is 235475234129533. The reversal of 235475234129520 is 25921432574532.

235475234129520 is a `hidden beast` number, since 2 + 3 + 5 + 4 + 7 + 5 + 2 + 341 + 295 + 2 + 0 = 666.

235475234129520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 84068272120 + ... + 84068274920.

Almost surely, 2^{235475234129520} is an apocalyptic number.

235475234129520 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 235475234129520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556173398686752).

235475234129520 is an abundant number, since it is smaller than the sum of its proper divisors (876871563243984).

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

235475234129520 is a wasteful number, since it uses less digits than its factorization.

235475234129520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2942 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 235475234129520 in words is "two hundred thirty-five trillion, four hundred seventy-five billion, two hundred thirty-four million, one hundred twenty-nine thousand, five hundred twenty".