11648538720 has 1440 divisors, whose sum is σ = 55186373088. Its totient is φ = 2285273088.

The previous prime is 11648538689. The next prime is 11648538751. The reversal of 11648538720 is 2783584611.

11648538720 is a `hidden beast` number, since 1 + 1 + 6 + 48 + 538 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11648538689) and next prime (11648538751).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×11648538720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 140343799 + ... + 140343881.

Almost surely, 2^11648538720 is an apocalyptic number.

11648538720 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 11648538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27593186544).

11648538720 is an abundant number, since it is smaller than the sum of its proper divisors (43537834368).

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

11648538720 is a wasteful number, since it uses less digits than its factorization.

11648538720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11648538720 in words is "eleven billion, six hundred forty-eight million, five hundred thirty-eight thousand, seven hundred twenty".