537584235552 has 648 divisors, whose sum is σ = 1962461261124. Its totient is φ = 139072647168.

The previous prime is 537584235511. The next prime is 537584235553. The reversal of 537584235552 is 255532485735.

It is a happy number.

537584235552 is a `hidden beast` number, since 5 + 3 + 7 + 5 + 84 + 2 + 3 + 5 + 552 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 41015970576 + 496568264976 = 202524^2 + 704676^2 .

It is not an unprimeable number, because it can be changed into a prime (537584235553) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 126399058 + ... + 126403310.

Almost surely, 2^537584235552 is an apocalyptic number.

537584235552 is a gapful number since it is divisible by the number (52) 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 537584235552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (981230630562).

537584235552 is an abundant number, since it is smaller than the sum of its proper divisors (1424877025572).

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

537584235552 is a wasteful number, since it uses less digits than its factorization.

537584235552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4362 (or 4331 counting only the distinct ones).

The product of its digits is 25200000, while the sum is 54.

The spelling of 537584235552 in words is "five hundred thirty-seven billion, five hundred eighty-four million, two hundred thirty-five thousand, five hundred fifty-two".