1051120723968 has 768 divisors, whose sum is σ = 3698472960000. Its totient is φ = 288645120000.

The previous prime is 1051120723951. The next prime is 1051120723993. The reversal of 1051120723968 is 8693270211501.

1051120723968 is a `hidden beast` number, since 1 + 0 + 51 + 1 + 207 + 2 + 396 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×1051120723968² (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 (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3011807058 + ... + 3011807406.

It is an arithmetic number, because the mean of its divisors is an integer number (4815720000).

Almost surely, 2^{1051120723968} is an apocalyptic number.

1051120723968 is a gapful number since it is divisible by the number (18) 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 1051120723968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1849236480000).

1051120723968 is an abundant number, since it is smaller than the sum of its proper divisors (2647352236032).

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

1051120723968 is a wasteful number, since it uses less digits than its factorization.

1051120723968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 1051120723968 in words is "one trillion, fifty-one billion, one hundred twenty million, seven hundred twenty-three thousand, nine hundred sixty-eight".