10971549677088 has 768 divisors, whose sum is σ = 43554328473600. Its totient is φ = 2594491637760.

The previous prime is 10971549677071. The next prime is 10971549677167. The reversal of 10971549677088 is 88077694517901.

10971549677088 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 1 + 549 + 6 + 7 + 70 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63048183 + ... + 63221961.

It is an arithmetic number, because the mean of its divisors is an integer number (56711365200).

Almost surely, 2^{10971549677088} is an apocalyptic number.

10971549677088 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 10971549677088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21777164236800).

10971549677088 is an abundant number, since it is smaller than the sum of its proper divisors (32582778796512).

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

10971549677088 is a wasteful number, since it uses less digits than its factorization.

10971549677088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173902 (or 173888 counting only the distinct ones).

The product of its (nonzero) digits is 213373440, while the sum is 72.

The spelling of 10971549677088 in words is "ten trillion, nine hundred seventy-one billion, five hundred forty-nine million, six hundred seventy-seven thousand, eighty-eight".