11136400052085 has 192 divisors, whose sum is σ = 25615291613184. Its totient is φ = 4333062297600.

The previous prime is 11136400052069. The next prime is 11136400052111. The reversal of 11136400052085 is 58025000463111.

11136400052085 is a `hidden beast` number, since 1 + 1 + 1 + 3 + 640 + 0 + 0 + 5 + 2 + 0 + 8 + 5 = 666.

11136400052085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 11136400052085 - 2⁴ = 11136400052069 is a prime.

It is a super-2 number, since 2×11136400052085² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

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, 10755942 + ... + 11745768.

It is an arithmetic number, because the mean of its divisors is an integer number (133412977152).

Almost surely, 2^{11136400052085} is an apocalyptic number.

11136400052085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11136400052085 is an abundant number, since it is smaller than the sum of its proper divisors (14478891561099).

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

11136400052085 is a wasteful number, since it uses less digits than its factorization.

11136400052085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990064 (or 990061 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 11136400052085 in words is "eleven trillion, one hundred thirty-six billion, four hundred million, fifty-two thousand, eighty-five".