1055761137312 has 192 divisors, whose sum is σ = 3478939269120. Its totient is φ = 273345076224.

The previous prime is 1055761137307. The next prime is 1055761137317. The reversal of 1055761137312 is 2137311675501.

It is an interprime number because it is at equal distance from previous prime (1055761137307) and next prime (1055761137317).

It is a super-2 number, since 2×1055761137312² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1055761137317) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1503903 + ... + 2091230.

It is an arithmetic number, because the mean of its divisors is an integer number (18119475360).

Almost surely, 2^{1055761137312} is an apocalyptic number.

1055761137312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1055761137312 is an abundant number, since it is smaller than the sum of its proper divisors (2423178131808).

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

1055761137312 is a wasteful number, since it uses less digits than its factorization.

1055761137312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3595195 (or 3595187 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 1055761137312 in words is "one trillion, fifty-five billion, seven hundred sixty-one million, one hundred thirty-seven thousand, three hundred twelve".