1054817509680 has 1080 divisors, whose sum is σ = 4131019004112. Its totient is φ = 240884582400.

The previous prime is 1054817509667. The next prime is 1054817509717. The reversal of 1054817509680 is 869057184501.

It is a happy number.

1054817509680 is a `hidden beast` number, since 1 + 0 + 5 + 48 + 17 + 509 + 6 + 80 = 666.

It is a super-2 number, since 2×1054817509680² (a number of 25 digits) contains 22 as substring.

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 215 ways as a sum of consecutive naturals, for example, 3600059614 + ... + 3600059906.

Almost surely, 2^{1054817509680} is an apocalyptic number.

1054817509680 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 1054817509680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2065509502056).

1054817509680 is an abundant number, since it is smaller than the sum of its proper divisors (3076201494432).

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

1054817509680 is a wasteful number, since it uses less digits than its factorization.

1054817509680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 1054817509680 in words is "one trillion, fifty-four billion, eight hundred seventeen million, five hundred nine thousand, six hundred eighty".