1054820105856 has 192 divisors, whose sum is σ = 3421931251200. Its totient is φ = 319642329600.

The previous prime is 1054820105827. The next prime is 1054820105869. The reversal of 1054820105856 is 6585010284501.

1054820105856 is a `hidden beast` number, since 1 + 0 + 5 + 48 + 20 + 1 + 0 + 585 + 6 = 666.

1054820105856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1054820105856² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 843040 + ... + 1679391.

It is an arithmetic number, because the mean of its divisors is an integer number (17822558600).

Almost surely, 2^{1054820105856} is an apocalyptic number.

1054820105856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1054820105856 is an abundant number, since it is smaller than the sum of its proper divisors (2367111145344).

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

1054820105856 is a wasteful number, since it uses less digits than its factorization.

1054820105856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2522476 (or 2522447 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 1054820105856 in words is "one trillion, fifty-four billion, eight hundred twenty million, one hundred five thousand, eight hundred fifty-six".