1303653012480 has 1584 divisors, whose sum is σ = 5907907684224. Its totient is φ = 262961233920.

The previous prime is 1303653012461. The next prime is 1303653012523. The reversal of 1303653012480 is 842103563031.

1303653012480 is a `hidden beast` number, since 1 + 3 + 0 + 36 + 530 + 12 + 4 + 80 = 666.

It is a super-2 number, since 2×1303653012480² (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 (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 675117115 + ... + 675119045.

Almost surely, 2^{1303653012480} is an apocalyptic number.

1303653012480 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 1303653012480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2953953842112).

1303653012480 is an abundant number, since it is smaller than the sum of its proper divisors (4604254671744).

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

1303653012480 is a wasteful number, since it uses less digits than its factorization.

1303653012480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2012 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 1303653012480 in words is "one trillion, three hundred three billion, six hundred fifty-three million, twelve thousand, four hundred eighty".