11802940271136 has 1152 divisors, whose sum is σ = 42493538304000. Its totient is φ = 3173119100928.

The previous prime is 11802940271117. The next prime is 11802940271173. The reversal of 11802940271136 is 63117204920811.

11802940271136 is a `hidden beast` number, since 1 + 1 + 80 + 294 + 0 + 271 + 13 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 11802940271091 and 11802940271100.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9199485151 + ... + 9199486433.

It is an arithmetic number, because the mean of its divisors is an integer number (36886752000).

Almost surely, 2^{11802940271136} is an apocalyptic number.

11802940271136 is a gapful number since it is divisible by the number (16) 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 11802940271136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21246769152000).

11802940271136 is an abundant number, since it is smaller than the sum of its proper divisors (30690598032864).

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

11802940271136 is a wasteful number, since it uses less digits than its factorization.

11802940271136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11802940271136 in words is "eleven trillion, eight hundred two billion, nine hundred forty million, two hundred seventy-one thousand, one hundred thirty-six".