1055673565440 has 288 divisors, whose sum is σ = 3634646359680. Its totient is φ = 259590586368.

The previous prime is 1055673565399. The next prime is 1055673565483. The reversal of 1055673565440 is 445653765501.

It is a happy number.

It is a super-2 number, since 2×1055673565440² (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 31 ways as a sum of consecutive naturals, for example, 50858104 + ... + 50878856.

It is an arithmetic number, because the mean of its divisors is an integer number (12620299860).

Almost surely, 2^{1055673565440} is an apocalyptic number.

1055673565440 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 1055673565440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817323179840).

1055673565440 is an abundant number, since it is smaller than the sum of its proper divisors (2578972794240).

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

1055673565440 is a wasteful number, since it uses less digits than its factorization.

1055673565440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21809 (or 21795 counting only the distinct ones).

The product of its (nonzero) digits is 7560000, while the sum is 51.

The spelling of 1055673565440 in words is "one trillion, fifty-five billion, six hundred seventy-three million, five hundred sixty-five thousand, four hundred forty".