1081217781504 has 432 divisors, whose sum is σ = 3746135440320. Its totient is φ = 293369610240.

The previous prime is 1081217781461. The next prime is 1081217781521. The reversal of 1081217781504 is 4051877121801.

1081217781504 is a `hidden beast` number, since 10 + 8 + 121 + 7 + 7 + 8 + 1 + 504 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1081217781504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28511484 + ... + 28549380.

Almost surely, 2^{1081217781504} is an apocalyptic number.

1081217781504 is a gapful number since it is divisible by the number (14) 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 1081217781504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873067720160).

1081217781504 is an abundant number, since it is smaller than the sum of its proper divisors (2664917658816).

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

1081217781504 is a wasteful number, since it uses less digits than its factorization.

1081217781504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38016 (or 37999 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 45.

The spelling of 1081217781504 in words is "one trillion, eighty-one billion, two hundred seventeen million, seven hundred eighty-one thousand, five hundred four".