11355003630 has 576 divisors, whose sum is σ = 36689103360. Its totient is φ = 2512705536.

The previous prime is 11355003629. The next prime is 11355003721. The reversal of 11355003630 is 3630055311.

It is a super-2 number, since 2×11355003630² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 11355003594 and 11355003603.

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, 306891972 + ... + 306892008.

It is an arithmetic number, because the mean of its divisors is an integer number (63696360).

Almost surely, 2^11355003630 is an apocalyptic number.

11355003630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11355003630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18344551680).

11355003630 is an abundant number, since it is smaller than the sum of its proper divisors (25334099730).

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

11355003630 is a wasteful number, since it uses less digits than its factorization.

11355003630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

Adding to 11355003630 its reverse (3630055311), we get a palindrome (14985058941).

The spelling of 11355003630 in words is "eleven billion, three hundred fifty-five million, three thousand, six hundred thirty".