11578275072 has 648 divisors, whose sum is σ = 43765997184. Its totient is φ = 2920845312.

The previous prime is 11578275067. The next prime is 11578275083. The reversal of 11578275072 is 27057287511.

11578275072 is a `hidden beast` number, since 1 + 1 + 578 + 2 + 7 + 5 + 0 + 72 = 666.

It is a super-4 number, since 4×11578275072⁴ (a number of 41 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 503403253 + ... + 503403275.

Almost surely, 2^11578275072 is an apocalyptic number.

11578275072 is a gapful number since it is divisible by the number (12) 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 11578275072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21882998592).

11578275072 is an abundant number, since it is smaller than the sum of its proper divisors (32187722112).

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

11578275072 is an frugal number, since it uses more digits than its factorization.

11578275072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 274400, while the sum is 45.

The spelling of 11578275072 in words is "eleven billion, five hundred seventy-eight million, two hundred seventy-five thousand, seventy-two".