1530126531648 has 560 divisors, whose sum is σ = 5363090867904. Its totient is φ = 425248911360.

The previous prime is 1530126531641. The next prime is 1530126531653. The reversal of 1530126531648 is 8461356210351.

1530126531648 is a `hidden beast` number, since 1 + 5 + 30 + 1 + 26 + 531 + 64 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1530126531641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 116379411 + ... + 116392557.

Almost surely, 2^{1530126531648} is an apocalyptic number.

1530126531648 is a gapful number since it is divisible by the number (18) 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 1530126531648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681545433952).

1530126531648 is an abundant number, since it is smaller than the sum of its proper divisors (3832964336256).

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

1530126531648 is a wasteful number, since it uses less digits than its factorization.

1530126531648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13352 (or 13333 counting only the distinct ones).

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

The spelling of 1530126531648 in words is "one trillion, five hundred thirty billion, one hundred twenty-six million, five hundred thirty-one thousand, six hundred forty-eight".