1503512468640 has 1152 divisors, whose sum is σ = 6703297316352. Its totient is φ = 297802137600.

The previous prime is 1503512468617. The next prime is 1503512468687. The reversal of 1503512468640 is 468642153051.

1503512468640 is a `hidden beast` number, since 1 + 50 + 3 + 512 + 4 + 6 + 86 + 4 + 0 = 666.

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

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 191 ways as a sum of consecutive naturals, for example, 1338835119 + ... + 1338836241.

It is an arithmetic number, because the mean of its divisors is an integer number (5818834476).

Almost surely, 2^{1503512468640} is an apocalyptic number.

1503512468640 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 1503512468640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3351648658176).

1503512468640 is an abundant number, since it is smaller than the sum of its proper divisors (5199784847712).

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

1503512468640 is a wasteful number, since it uses less digits than its factorization.

1503512468640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1782 (or 1771 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 1503512468640 in words is "one trillion, five hundred three billion, five hundred twelve million, four hundred sixty-eight thousand, six hundred forty".