493252538880 has 320 divisors, whose sum is σ = 1649481926400. Its totient is φ = 125505110016.

The previous prime is 493252538861. The next prime is 493252538921. The reversal of 493252538880 is 88835252394.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×493252538880² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 493252538880.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76481896 + ... + 76488344.

It is an arithmetic number, because the mean of its divisors is an integer number (5154631020).

Almost surely, 2^493252538880 is an apocalyptic number.

493252538880 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 493252538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824740963200).

493252538880 is an abundant number, since it is smaller than the sum of its proper divisors (1156229387520).

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

493252538880 is a wasteful number, since it uses less digits than its factorization.

493252538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6931 (or 6915 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 57.

The spelling of 493252538880 in words is "four hundred ninety-three billion, two hundred fifty-two million, five hundred thirty-eight thousand, eight hundred eighty".