1055705763840 has 832 divisors, whose sum is σ = 4292161585152. Its totient is φ = 215521689600.

The previous prime is 1055705763839. The next prime is 1055705763877. The reversal of 1055705763840 is 483675075501.

It is a tau number, because it is divible by the number of its divisors (832).

It is a super-2 number, since 2×1055705763840² (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, 173319195 + ... + 173325285.

Almost surely, 2^{1055705763840} is an apocalyptic number.

1055705763840 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 1055705763840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2146080792576).

1055705763840 is an abundant number, since it is smaller than the sum of its proper divisors (3236455821312).

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

1055705763840 is a wasteful number, since it uses less digits than its factorization.

1055705763840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6174 (or 6152 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 1055705763840 in words is "one trillion, fifty-five billion, seven hundred five million, seven hundred sixty-three thousand, eight hundred forty".