10851981480000 has 1120 divisors, whose sum is σ = 42488536816000. Its totient is φ = 2741133312000.

The previous prime is 10851981479987. The next prime is 10851981480001. The reversal of 10851981480000 is 8418915801.

10851981480000 is a `hidden beast` number, since 1 + 0 + 85 + 1 + 98 + 1 + 480 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10851981480001) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1662116736 + ... + 1662123264.

Almost surely, 2^{10851981480000} is an apocalyptic number.

10851981480000 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 10851981480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21244268408000).

10851981480000 is an abundant number, since it is smaller than the sum of its proper divisors (31636555336000).

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

10851981480000 is an frugal number, since it uses more digits than its factorization.

10851981480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6601 (or 6558 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 10851981480000 in words is "ten trillion, eight hundred fifty-one billion, nine hundred eighty-one million, four hundred eighty thousand".