1503794496960 has 896 divisors, whose sum is σ = 6288309780480. Its totient is φ = 335296143360.

The previous prime is 1503794496949. The next prime is 1503794496961. The reversal of 1503794496960 is 696944973051.

1503794496960 is a `hidden beast` number, since 1 + 5 + 0 + 3 + 79 + 449 + 69 + 60 = 666.

It is a super-2 number, since 2×1503794496960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1503794496961) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 200850337 + ... + 200857823.

It is an arithmetic number, because the mean of its divisors is an integer number (7018202880).

Almost surely, 2^{1503794496960} is an apocalyptic number.

1503794496960 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 1503794496960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3144154890240).

1503794496960 is an abundant number, since it is smaller than the sum of its proper divisors (4784515283520).

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

1503794496960 is an frugal number, since it uses more digits than its factorization.

1503794496960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7545 counting only the distinct ones).

The product of its (nonzero) digits is 44089920, while the sum is 63.

The spelling of 1503794496960 in words is "one trillion, five hundred three billion, seven hundred ninety-four million, four hundred ninety-six thousand, nine hundred sixty".