1506534160320 has 336 divisors, whose sum is σ = 5940031938048. Its totient is φ = 343308810240.

The previous prime is 1506534160301. The next prime is 1506534160387. The reversal of 1506534160320 is 230614356051.

1506534160320 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 5 + 3 + 41 + 603 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×1506534160320² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6560077 + ... + 6785843.

Almost surely, 2^{1506534160320} is an apocalyptic number.

1506534160320 is a gapful number since it is divisible by the number (10) 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 1506534160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2970015969024).

1506534160320 is an abundant number, since it is smaller than the sum of its proper divisors (4433497777728).

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

1506534160320 is a wasteful number, since it uses less digits than its factorization.

1506534160320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226128 (or 226115 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1506534160320 in words is "one trillion, five hundred six billion, five hundred thirty-four million, one hundred sixty thousand, three hundred twenty".