10981654145280 has 2592 divisors, whose sum is σ = 50788913011200. Its totient is φ = 2165101166592.

The previous prime is 10981654145243. The next prime is 10981654145351. The reversal of 10981654145280 is 8254145618901.

10981654145280 is a `hidden beast` number, since 1 + 0 + 9 + 8 + 16 + 541 + 4 + 5 + 2 + 80 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11014697742 + ... + 11014698738.

Almost surely, 2^{10981654145280} is an apocalyptic number.

10981654145280 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 10981654145280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25394456505600).

10981654145280 is an abundant number, since it is smaller than the sum of its proper divisors (39807258865920).

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

10981654145280 is a wasteful number, since it uses less digits than its factorization.

10981654145280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The spelling of 10981654145280 in words is "ten trillion, nine hundred eighty-one billion, six hundred fifty-four million, one hundred forty-five thousand, two hundred eighty".