1088054671968 has 240 divisors, whose sum is σ = 3499851635280. Its totient is φ = 328862592000.

The previous prime is 1088054671961. The next prime is 1088054671969. The reversal of 1088054671968 is 8691764508801.

1088054671968 is a `hidden beast` number, since 1 + 0 + 8 + 80 + 5 + 467 + 1 + 96 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1088054671961) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11042118 + ... + 11140218.

It is an arithmetic number, because the mean of its divisors is an integer number (14582715147).

Almost surely, 2^{1088054671968} is an apocalyptic number.

1088054671968 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 1088054671968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1749925817640).

1088054671968 is an abundant number, since it is smaller than the sum of its proper divisors (2411796963312).

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

1088054671968 is a wasteful number, since it uses less digits than its factorization.

1088054671968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98523 (or 98506 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 1088054671968 in words is "one trillion, eighty-eight billion, fifty-four million, six hundred seventy-one thousand, nine hundred sixty-eight".