11540055122064 has 120 divisors (see below), whose sum is σ = 36910554662592. Its totient is φ = 3297096449280.

The previous prime is 11540055122059. The next prime is 11540055122083. The reversal of 11540055122064 is 46022155004511.

11540055122064 is a `hidden beast` number, since 1 + 1 + 5 + 40 + 0 + 551 + 2 + 2 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94583179 + ... + 94705109.

Almost surely, 2^{11540055122064} is an apocalyptic number.

11540055122064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11540055122064 is an abundant number, since it is smaller than the sum of its proper divisors (25370499540528).

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

11540055122064 is a wasteful number, since it uses less digits than its factorization.

11540055122064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215845 (or 215836 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 11540055122064 in words is "eleven trillion, five hundred forty billion, fifty-five million, one hundred twenty-two thousand, sixty-four".