4835726127360 has 1728 divisors, whose sum is σ = 19542026649600. Its totient is φ = 1137731567616.

The previous prime is 4835726127329. The next prime is 4835726127371. The reversal of 4835726127360 is 637216275384.

It is a happy number.

4835726127360 is a `hidden beast` number, since 4 + 8 + 3 + 57 + 261 + 273 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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 = 4835726127297 and 4835726127306.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 12759171651 + ... + 12759172029.

It is an arithmetic number, because the mean of its divisors is an integer number (11309043200).

Almost surely, 2^{4835726127360} is an apocalyptic number.

4835726127360 is a gapful number since it is divisible by the number (40) 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 4835726127360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9771013324800).

4835726127360 is an abundant number, since it is smaller than the sum of its proper divisors (14706300522240).

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

4835726127360 is a wasteful number, since it uses less digits than its factorization.

4835726127360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 4835726127360 in words is "four trillion, eight hundred thirty-five billion, seven hundred twenty-six million, one hundred twenty-seven thousand, three hundred sixty".