1506612856320 has 2400 divisors, whose sum is σ = 6637937644800. Its totient is φ = 324078796800.

The previous prime is 1506612856313. The next prime is 1506612856321. The reversal of 1506612856320 is 236582166051.

1506612856320 is a `hidden beast` number, since 1 + 5 + 0 + 6 + 6 + 1 + 2 + 8 + 5 + 632 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1506612856321) 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 239 ways as a sum of consecutive naturals, for example, 10111495606 + ... + 10111495754.

It is an arithmetic number, because the mean of its divisors is an integer number (2765807352).

Almost surely, 2^{1506612856320} is an apocalyptic number.

1506612856320 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 1506612856320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3318968822400).

1506612856320 is an abundant number, since it is smaller than the sum of its proper divisors (5131324788480).

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

1506612856320 is a wasteful number, since it uses less digits than its factorization.

1506612856320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 1506612856320 in words is "one trillion, five hundred six billion, six hundred twelve million, eight hundred fifty-six thousand, three hundred twenty".