1135503123480 has 384 divisors, whose sum is σ = 4318957843200. Its totient is φ = 265780569600.

The previous prime is 1135503123473. The next prime is 1135503123497. The reversal of 1135503123480 is 843213055311.

1135503123480 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 50 + 3 + 123 + 480 = 666.

It is a super-2 number, since 2×1135503123480² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2917575 + ... + 3283785.

It is an arithmetic number, because the mean of its divisors is an integer number (11247286050).

Almost surely, 2^{1135503123480} is an apocalyptic number.

1135503123480 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 1135503123480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159478921600).

1135503123480 is an abundant number, since it is smaller than the sum of its proper divisors (3183454719720).

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

1135503123480 is a wasteful number, since it uses less digits than its factorization.

1135503123480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366277 (or 366261 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 1135503123480 its reverse (843213055311), we get a palindrome (1978716178791).

The spelling of 1135503123480 in words is "one trillion, one hundred thirty-five billion, five hundred three million, one hundred twenty-three thousand, four hundred eighty".