5235834764160 has 4096 divisors, whose sum is σ = 26142571929600. Its totient is φ = 967458816000.

The previous prime is 5235834764141. The next prime is 5235834764221. The reversal of 5235834764160 is 614674385325.

5235834764160 is a `hidden beast` number, since 5 + 2 + 3 + 5 + 8 + 3 + 476 + 4 + 160 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5235834764097 and 5235834764106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 51839948110 + ... + 51839948210.

It is an arithmetic number, because the mean of its divisors is an integer number (6382463850).

Almost surely, 2^{5235834764160} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5235834764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13071285964800).

5235834764160 is an abundant number, since it is smaller than the sum of its proper divisors (20906737165440).

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

5235834764160 is a wasteful number, since it uses less digits than its factorization.

5235834764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 5235834764160 in words is "five trillion, two hundred thirty-five billion, eight hundred thirty-four million, seven hundred sixty-four thousand, one hundred sixty".