1506106730800 has 120 divisors (see below), whose sum is σ = 4144312684512. Its totient is φ = 515258880000.

The previous prime is 1506106730771. The next prime is 1506106730839. The reversal of 1506106730800 is 80376016051.

It is a super-2 number, since 2×1506106730800² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1506106730800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707400 + ... + 1874200.

Almost surely, 2^{1506106730800} is an apocalyptic number.

1506106730800 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 1506106730800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2072156342256).

1506106730800 is an abundant number, since it is smaller than the sum of its proper divisors (2638205953712).

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

1506106730800 is a wasteful number, since it uses less digits than its factorization.

1506106730800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1167287 (or 1167276 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The spelling of 1506106730800 in words is "one trillion, five hundred six billion, one hundred six million, seven hundred thirty thousand, eight hundred".