1082654520408 has 384 divisors, whose sum is σ = 3323838136320. Its totient is φ = 316668579840.

The previous prime is 1082654520379. The next prime is 1082654520419. The reversal of 1082654520408 is 8040254562801.

1082654520408 is a `hidden beast` number, since 1 + 0 + 82 + 6 + 5 + 4 + 520 + 40 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 144600841 + ... + 144608327.

It is an arithmetic number, because the mean of its divisors is an integer number (8655828480).

Almost surely, 2^{1082654520408} is an apocalyptic number.

1082654520408 is a gapful number since it is divisible by the number (18) 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 1082654520408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1661919068160).

1082654520408 is an abundant number, since it is smaller than the sum of its proper divisors (2241183615912).

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

1082654520408 is a wasteful number, since it uses less digits than its factorization.

1082654520408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7687 (or 7680 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 1082654520408 in words is "one trillion, eighty-two billion, six hundred fifty-four million, five hundred twenty thousand, four hundred eight".