1055114396160 has 960 divisors, whose sum is σ = 4020857470080. Its totient is φ = 233770844160.

The previous prime is 1055114396113. The next prime is 1055114396267. The reversal of 1055114396160 is 616934115501.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×1055114396160² (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 95 ways as a sum of consecutive naturals, for example, 884420524 + ... + 884421716.

It is an arithmetic number, because the mean of its divisors is an integer number (4188393198).

Almost surely, 2^{1055114396160} is an apocalyptic number.

1055114396160 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 1055114396160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2010428735040).

1055114396160 is an abundant number, since it is smaller than the sum of its proper divisors (2965743073920).

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

1055114396160 is a wasteful number, since it uses less digits than its factorization.

1055114396160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1297 (or 1262 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 42.

The spelling of 1055114396160 in words is "one trillion, fifty-five billion, one hundred fourteen million, three hundred ninety-six thousand, one hundred sixty".