1049603974560 has 576 divisors, whose sum is σ = 3780526224384. Its totient is φ = 274959360000.

The previous prime is 1049603974553. The next prime is 1049603974579. The reversal of 1049603974560 is 654793069401.

1049603974560 is a `hidden beast` number, since 1 + 0 + 4 + 9 + 6 + 0 + 3 + 9 + 74 + 560 = 666.

It is a super-2 number, since 2×1049603974560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1049603974497 and 1049603974506.

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, 537981585 + ... + 537983535.

It is an arithmetic number, because the mean of its divisors is an integer number (6563413584).

Almost surely, 2^{1049603974560} is an apocalyptic number.

1049603974560 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 1049603974560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1890263112192).

1049603974560 is an abundant number, since it is smaller than the sum of its proper divisors (2730922249824).

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

1049603974560 is a wasteful number, since it uses less digits than its factorization.

1049603974560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2219 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1049603974560 in words is "one trillion, forty-nine billion, six hundred three million, nine hundred seventy-four thousand, five hundred sixty".