1077539054760 has 1536 divisors, whose sum is σ = 4670062387200. Its totient is φ = 215906549760.

The previous prime is 1077539054729. The next prime is 1077539054773. The reversal of 1077539054760 is 674509357701.

1077539054760 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 5 + 3 + 90 + 547 + 6 + 0 = 666.

It is a super-2 number, since 2×1077539054760² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1077539054697 and 1077539054706.

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 383 ways as a sum of consecutive naturals, for example, 2060303859 + ... + 2060304381.

It is an arithmetic number, because the mean of its divisors is an integer number (3040405200).

Almost surely, 2^{1077539054760} is an apocalyptic number.

1077539054760 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 1077539054760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335031193600).

1077539054760 is an abundant number, since it is smaller than the sum of its proper divisors (3592523332440).

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

1077539054760 is a wasteful number, since it uses less digits than its factorization.

1077539054760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 648 (or 621 counting only the distinct ones).

The product of its (nonzero) digits is 5556600, while the sum is 54.

The spelling of 1077539054760 in words is "one trillion, seventy-seven billion, five hundred thirty-nine million, fifty-four thousand, seven hundred sixty".