1054512736560 has 200 divisors, whose sum is σ = 3694892842080. Its totient is φ = 278714677248.

The previous prime is 1054512736513. The next prime is 1054512736583. The reversal of 1054512736560 is 656372154501.

1054512736560 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 5 + 12 + 73 + 6 + 560 = 666.

It is a super-2 number, since 2×1054512736560² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12181 + ... + 1452299.

Almost surely, 2^{1054512736560} is an apocalyptic number.

1054512736560 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 1054512736560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847446421040).

1054512736560 is an abundant number, since it is smaller than the sum of its proper divisors (2640380105520).

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

1054512736560 is a wasteful number, since it uses less digits than its factorization.

1054512736560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440257 (or 1440242 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 1054512736560 in words is "one trillion, fifty-four billion, five hundred twelve million, seven hundred thirty-six thousand, five hundred sixty".