11620630560 has 576 divisors, whose sum is σ = 47055375360. Its totient is φ = 2341232640.

The previous prime is 11620630559. The next prime is 11620630613. The reversal of 11620630560 is 6503602611.

It is a super-2 number, since 2×11620630560² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 159186684 + ... + 159186756.

It is an arithmetic number, because the mean of its divisors is an integer number (81693360).

Almost surely, 2^11620630560 is an apocalyptic number.

11620630560 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 11620630560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23527687680).

11620630560 is an abundant number, since it is smaller than the sum of its proper divisors (35434744800).

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

11620630560 is a wasteful number, since it uses less digits than its factorization.

11620630560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 30.

It can be divided in two parts, 116 and 20630560, that added together give a triangular number (20630676 = T₆₄₂₃).

The spelling of 11620630560 in words is "eleven billion, six hundred twenty million, six hundred thirty thousand, five hundred sixty".