11531505120 has 48 divisors (see below), whose sum is σ = 36324242640. Its totient is φ = 3075067904.

The previous prime is 11531505119. The next prime is 11531505121. The reversal of 11531505120 is 2150513511.

It is an interprime number because it is at equal distance from previous prime (11531505119) and next prime (11531505121).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11531505120² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11531505121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12011505 + ... + 12012464.

It is an arithmetic number, because the mean of its divisors is an integer number (756755055).

Almost surely, 2^11531505120 is an apocalyptic number.

11531505120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11531505120 is an abundant number, since it is smaller than the sum of its proper divisors (24792737520).

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

11531505120 is a wasteful number, since it uses less digits than its factorization.

11531505120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24023987 (or 24023979 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 11531505120 in words is "eleven billion, five hundred thirty-one million, five hundred five thousand, one hundred twenty".