11139757009920 has 3168 divisors, whose sum is σ = 51993707770368. Its totient is φ = 2240085196800.

The previous prime is 11139757009919. The next prime is 11139757009987. The reversal of 11139757009920 is 2990075793111.

11139757009920 is a `hidden beast` number, since 1 + 11 + 39 + 7 + 570 + 0 + 9 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3168).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 359347000305 + ... + 359347000335.

Almost surely, 2^{11139757009920} is an apocalyptic number.

11139757009920 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 11139757009920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25996853885184).

11139757009920 is an abundant number, since it is smaller than the sum of its proper divisors (40853950760448).

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

11139757009920 is an frugal number, since it uses more digits than its factorization.

11139757009920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1071630, while the sum is 54.

The spelling of 11139757009920 in words is "eleven trillion, one hundred thirty-nine billion, seven hundred fifty-seven million, nine thousand, nine hundred twenty".