10992937110480 has 480 divisors, whose sum is σ = 42141236600736. Its totient is φ = 2544072523776.

The previous prime is 10992937110479. The next prime is 10992937110503. The reversal of 10992937110480 is 8401173929901.

10992937110480 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 2 + 93 + 71 + 1 + 0 + 480 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 2084431387536 + 8908505722944 = 1443756^2 + 2984712^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 151605114 + ... + 151677606.

Almost surely, 2^{10992937110480} is an apocalyptic number.

10992937110480 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 10992937110480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21070618300368).

10992937110480 is an abundant number, since it is smaller than the sum of its proper divisors (31148299490256).

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

10992937110480 is a wasteful number, since it uses less digits than its factorization.

10992937110480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73495 (or 73486 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 10992937110480 in words is "ten trillion, nine hundred ninety-two billion, nine hundred thirty-seven million, one hundred ten thousand, four hundred eighty".