537351010560 has 1152 divisors, whose sum is σ = 2386217272320. Its totient is φ = 111476736000.

The previous prime is 537351010543. The next prime is 537351010561. The reversal of 537351010560 is 65010153735.

537351010560 is a `hidden beast` number, since 5 + 3 + 73 + 5 + 10 + 10 + 560 = 666.

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

It is a super-2 number, since 2×537351010560² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (537351010561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 191841160 + ... + 191843960.

It is an arithmetic number, because the mean of its divisors is an integer number (2071369160).

Almost surely, 2^537351010560 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 537351010560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1193108636160).

537351010560 is an abundant number, since it is smaller than the sum of its proper divisors (1848866261760).

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

537351010560 is a wasteful number, since it uses less digits than its factorization.

537351010560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 2892 counting only the distinct ones).

The product of its (nonzero) digits is 47250, while the sum is 36.

The spelling of 537351010560 in words is "five hundred thirty-seven billion, three hundred fifty-one million, ten thousand, five hundred sixty".