5234686248960 has 1152 divisors, whose sum is σ = 21584838562560. Its totient is φ = 1191909261312.

The previous prime is 5234686248949. The next prime is 5234686248977. The reversal of 5234686248960 is 698426864325.

It is a happy number.

5234686248960 is a `hidden beast` number, since 5 + 2 + 34 + 6 + 8 + 62 + 489 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 6915040902 + ... + 6915041658.

It is an arithmetic number, because the mean of its divisors is an integer number (18736839030).

Almost surely, 2^{5234686248960} 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 5234686248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792419281280).

5234686248960 is an abundant number, since it is smaller than the sum of its proper divisors (16350152313600).

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

5234686248960 is an equidigital number, since it uses as much as digits as its factorization.

5234686248960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1203 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 119439360, while the sum is 63.

The spelling of 5234686248960 in words is "five trillion, two hundred thirty-four billion, six hundred eighty-six million, two hundred forty-eight thousand, nine hundred sixty".