537323067002160 has 960 divisors, whose sum is σ = 1915791381504000. Its totient is φ = 134748201369600.

The previous prime is 537323067002153. The next prime is 537323067002167. The reversal of 537323067002160 is 61200760323735.

537323067002160 is a `hidden beast` number, since 5 + 37 + 32 + 306 + 70 + 0 + 216 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (537323067002153) and next prime (537323067002167).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (537323067002167) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 174512199501 + ... + 174512202579.

It is an arithmetic number, because the mean of its divisors is an integer number (1995616022400).

Almost surely, 2^{537323067002160} 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 537323067002160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957895690752000).

537323067002160 is an abundant number, since it is smaller than the sum of its proper divisors (1378468314501840).

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

537323067002160 is a wasteful number, since it uses less digits than its factorization.

537323067002160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4042 (or 4033 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 537323067002160 in words is "five hundred thirty-seven trillion, three hundred twenty-three billion, sixty-seven million, two thousand, one hundred sixty".