11619121026240 has 672 divisors, whose sum is σ = 49674731573376. Its totient is φ = 2427228979200.

The previous prime is 11619121026223. The next prime is 11619121026269. The reversal of 11619121026240 is 4262012191611.

11619121026240 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 9 + 1 + 21 + 0 + 2 + 624 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 11619121026195 and 11619121026204.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26250604 + ... + 26689556.

It is an arithmetic number, because the mean of its divisors is an integer number (73920731508).

Almost surely, 2^{11619121026240} is an apocalyptic number.

11619121026240 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 11619121026240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24837365786688).

11619121026240 is an abundant number, since it is smaller than the sum of its proper divisors (38055610547136).

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

11619121026240 is a wasteful number, since it uses less digits than its factorization.

11619121026240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439097 (or 439084 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 11619121026240 in words is "eleven trillion, six hundred nineteen billion, one hundred twenty-one million, twenty-six thousand, two hundred forty".