11111530759680 has 480 divisors, whose sum is σ = 38660982886944. Its totient is φ = 2721199423488.

The previous prime is 11111530759649. The next prime is 11111530759711. The reversal of 11111530759680 is 8695703511111.

It is an interprime number because it is at equal distance from previous prime (11111530759649) and next prime (11111530759711).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×11111530759680² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255668512 + ... + 255711968.

Almost surely, 2^{11111530759680} is an apocalyptic number.

11111530759680 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 11111530759680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19330491443472).

11111530759680 is an abundant number, since it is smaller than the sum of its proper divisors (27549452127264).

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

11111530759680 is a wasteful number, since it uses less digits than its factorization.

11111530759680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43706 (or 43677 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 48.

The spelling of 11111530759680 in words is "eleven trillion, one hundred eleven billion, five hundred thirty million, seven hundred fifty-nine thousand, six hundred eighty".