1077083376516 has 240 divisors, whose sum is σ = 3388675973760. Its totient is φ = 291424573440.

The previous prime is 1077083376511. The next prime is 1077083376539. The reversal of 1077083376516 is 6156733807701.

1077083376516 is a `hidden beast` number, since 10 + 7 + 7 + 0 + 83 + 37 + 6 + 516 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1077083376511) 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 79 ways as a sum of consecutive naturals, for example, 203951796 + ... + 203957076.

It is an arithmetic number, because the mean of its divisors is an integer number (14119483224).

Almost surely, 2^{1077083376516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077083376516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694337986880).

1077083376516 is an abundant number, since it is smaller than the sum of its proper divisors (2311592597244).

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

1077083376516 is a wasteful number, since it uses less digits than its factorization.

1077083376516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10056 (or 10045 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 1077083376516 in words is "one trillion, seventy-seven billion, eighty-three million, three hundred seventy-six thousand, five hundred sixteen".