11547117120 has 448 divisors, whose sum is σ = 46122043392. Its totient is φ = 2397542400.

The previous prime is 11547117097. The next prime is 11547117143. The reversal of 11547117120 is 2171174511.

It is an interprime number because it is at equal distance from previous prime (11547117097) and next prime (11547117143).

It is a tau number, because it is divible by the number of its divisors (448).

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8943675 + ... + 8944965.

Almost surely, 2^11547117120 is an apocalyptic number.

11547117120 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 11547117120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23061021696).

11547117120 is an abundant number, since it is smaller than the sum of its proper divisors (34574926272).

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

11547117120 is a wasteful number, since it uses less digits than its factorization.

11547117120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 30.

The spelling of 11547117120 in words is "eleven billion, five hundred forty-seven million, one hundred seventeen thousand, one hundred twenty".