11235498434160 has 3840 divisors, whose sum is σ = 52090106019840. Its totient is φ = 1943012966400.

The previous prime is 11235498434143. The next prime is 11235498434189. The reversal of 11235498434160 is 6143489453211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 126241555396 + ... + 126241555484.

It is an arithmetic number, because the mean of its divisors is an integer number (13565131776).

Almost surely, 2^{11235498434160} is an apocalyptic number.

11235498434160 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 11235498434160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26045053009920).

11235498434160 is an abundant number, since it is smaller than the sum of its proper divisors (40854607585680).

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

11235498434160 is a wasteful number, since it uses less digits than its factorization.

11235498434160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 51.

The spelling of 11235498434160 in words is "eleven trillion, two hundred thirty-five billion, four hundred ninety-eight million, four hundred thirty-four thousand, one hundred sixty".