11277814106240 has 128 divisors (see below), whose sum is σ = 30360802199040. Its totient is φ = 3968732160000.

The previous prime is 11277814106201. The next prime is 11277814106257. The reversal of 11277814106240 is 4260141877211.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 11277814106191 and 11277814106200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25619861 + ... + 26056340.

It is an arithmetic number, because the mean of its divisors is an integer number (237193767180).

Almost surely, 2^{11277814106240} is an apocalyptic number.

11277814106240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11277814106240 is an abundant number, since it is smaller than the sum of its proper divisors (19082988092800).

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

11277814106240 is a wasteful number, since it uses less digits than its factorization.

11277814106240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51676262 (or 51676250 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 44.

The spelling of 11277814106240 in words is "eleven trillion, two hundred seventy-seven billion, eight hundred fourteen million, one hundred six thousand, two hundred forty".