1481532275520 has 336 divisors, whose sum is σ = 5765009560128. Its totient is φ = 359159132160.

The previous prime is 1481532275519. The next prime is 1481532275557. The reversal of 1481532275520 is 255722351841.

1481532275520 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 53 + 2 + 2 + 75 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 10669 + ... + 1721388.

It is an arithmetic number, because the mean of its divisors is an integer number (17157766548).

Almost surely, 2^{1481532275520} is an apocalyptic number.

1481532275520 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 1481532275520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2882504780064).

1481532275520 is an abundant number, since it is smaller than the sum of its proper divisors (4283477284608).

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

1481532275520 is a wasteful number, since it uses less digits than its factorization.

1481532275520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1732100 (or 1732078 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 1481532275520 in words is "one trillion, four hundred eighty-one billion, five hundred thirty-two million, two hundred seventy-five thousand, five hundred twenty".