1503985731248 has 480 divisors, whose sum is σ = 4054245511680. Its totient is φ = 531221483520.

The previous prime is 1503985731229. The next prime is 1503985731263. The reversal of 1503985731248 is 8421375893051.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 1503985731193 and 1503985731202.

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 95 ways as a sum of consecutive naturals, for example, 1605107036 + ... + 1605107972.

It is an arithmetic number, because the mean of its divisors is an integer number (8446344816).

Almost surely, 2^{1503985731248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1503985731248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2027122755840).

1503985731248 is an abundant number, since it is smaller than the sum of its proper divisors (2550259780432).

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

1503985731248 is a wasteful number, since it uses less digits than its factorization.

1503985731248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1225 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 56.

The spelling of 1503985731248 in words is "one trillion, five hundred three billion, nine hundred eighty-five million, seven hundred thirty-one thousand, two hundred forty-eight".