11540034010000 has 100 divisors (see below), whose sum is σ = 29583081268092. Its totient is φ = 4344483328000.

The previous prime is 11540034009991. The next prime is 11540034010019. The reversal of 11540034010000 is 1043004511.

It can be written as a sum of positive squares in 10 ways, for example, as 8251991626384 + 3288042383616 = 2872628^2 + 1813296^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is a self number, because there is not a number n which added to its sum of digits gives 11540034010000.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 33771277 + ... + 34111276.

Almost surely, 2^{11540034010000} is an apocalyptic number.

11540034010000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11540034010000 is an abundant number, since it is smaller than the sum of its proper divisors (18043047258092).

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

11540034010000 is an equidigital number, since it uses as much as digits as its factorization.

11540034010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67882598 (or 67882577 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 11540034010000 its reverse (1043004511), we get a palindrome (11541077014511).

The spelling of 11540034010000 in words is "eleven trillion, five hundred forty billion, thirty-four million, ten thousand".