11399435013120 has 3168 divisors, whose sum is σ = 49555292548608. Its totient is φ = 2225405952000.

The previous prime is 11399435013119. The next prime is 11399435013139. The reversal of 11399435013120 is 2131053499311.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 160555422685 + ... + 160555422755.

It is an arithmetic number, because the mean of its divisors is an integer number (15642453456).

Almost surely, 2^{11399435013120} is an apocalyptic number.

11399435013120 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 11399435013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24777646274304).

11399435013120 is an abundant number, since it is smaller than the sum of its proper divisors (38155857535488).

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

11399435013120 is a wasteful number, since it uses less digits than its factorization.

11399435013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The spelling of 11399435013120 in words is "eleven trillion, three hundred ninety-nine billion, four hundred thirty-five million, thirteen thousand, one hundred twenty".