537583060224 has 432 divisors, whose sum is σ = 1871759740032. Its totient is φ = 150690668544.

The previous prime is 537583060199. The next prime is 537583060249. The reversal of 537583060224 is 422060385735.

537583060224 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 8 + 30 + 602 + 2 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (537583060199) and next prime (537583060249).

It is a tau number, because it is divible by the number of its divisors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 537583060224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23067522 + ... + 23090814.

It is an arithmetic number, because the mean of its divisors is an integer number (4332777176).

Almost surely, 2^537583060224 is an apocalyptic number.

537583060224 is a gapful number since it is divisible by the number (54) 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 537583060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935879870016).

537583060224 is an abundant number, since it is smaller than the sum of its proper divisors (1334176679808).

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

537583060224 is an equidigital number, since it uses as much as digits as its factorization.

537583060224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23384 (or 23358 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 537583060224 in words is "five hundred thirty-seven billion, five hundred eighty-three million, sixty thousand, two hundred twenty-four".