11265978654240 has 768 divisors, whose sum is σ = 42696286617600. Its totient is φ = 2473879339008.

The previous prime is 11265978654233. The next prime is 11265978654283. The reversal of 11265978654240 is 4245687956211.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 103357209 + ... + 103466151.

It is an arithmetic number, because the mean of its divisors is an integer number (55594123200).

Almost surely, 2^{11265978654240} is an apocalyptic number.

11265978654240 is a gapful number since it is divisible by the number (10) 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 11265978654240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21348143308800).

11265978654240 is an abundant number, since it is smaller than the sum of its proper divisors (31430307963360).

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

11265978654240 is a wasteful number, since it uses less digits than its factorization.

11265978654240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109049 (or 109041 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 60.

The spelling of 11265978654240 in words is "eleven trillion, two hundred sixty-five billion, nine hundred seventy-eight million, six hundred fifty-four thousand, two hundred forty".