1082776162140 has 672 divisors, whose sum is σ = 3888803761920. Its totient is φ = 251418359808.

The previous prime is 1082776162109. The next prime is 1082776162199. The reversal of 1082776162140 is 412616772801.

1082776162140 is a `hidden beast` number, since 1 + 0 + 8 + 2 + 7 + 7 + 616 + 21 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 202498947 + ... + 202504293.

It is an arithmetic number, because the mean of its divisors is an integer number (5786910360).

Almost surely, 2^{1082776162140} is an apocalyptic number.

1082776162140 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 1082776162140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944401880960).

1082776162140 is an abundant number, since it is smaller than the sum of its proper divisors (2806027599780).

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

1082776162140 is a wasteful number, since it uses less digits than its factorization.

1082776162140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5453 (or 5436 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 1082776162140 in words is "one trillion, eighty-two billion, seven hundred seventy-six million, one hundred sixty-two thousand, one hundred forty".