11129837322240 has 1456 divisors, whose sum is σ = 49291191438048. Its totient is φ = 2348273369088.

The previous prime is 11129837322239. The next prime is 11129837322269. The reversal of 11129837322240 is 4222373892111.

11129837322240 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 9 + 83 + 7 + 322 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1456).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 856141332474 + ... + 856141332486.

Almost surely, 2^{11129837322240} is an apocalyptic number.

11129837322240 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 11129837322240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24645595719024).

11129837322240 is an abundant number, since it is smaller than the sum of its proper divisors (38161354115808).

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

11129837322240 is an frugal number, since it uses more digits than its factorization.

11129837322240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 11129837322240 in words is "eleven trillion, one hundred twenty-nine billion, eight hundred thirty-seven million, three hundred twenty-two thousand, two hundred forty".