5235093504000 has 1280 divisors, whose sum is σ = 20188470931200. Its totient is φ = 1348337664000.

The previous prime is 5235093503971. The next prime is 5235093504059. The reversal of 5235093504000 is 4053905325.

5235093504000 is a `hidden beast` number, since 523 + 5 + 0 + 93 + 5 + 0 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10285055746 + ... + 10285056254.

It is an arithmetic number, because the mean of its divisors is an integer number (15772242915).

Almost surely, 2^{5235093504000} is an apocalyptic number.

5235093504000 is a gapful number since it is divisible by the number (50) 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 5235093504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10094235465600).

5235093504000 is an abundant number, since it is smaller than the sum of its proper divisors (14953377427200).

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

5235093504000 is an frugal number, since it uses more digits than its factorization.

5235093504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 5235093504000 in words is "five trillion, two hundred thirty-five billion, ninety-three million, five hundred four thousand".