11572346880 has 380 divisors, whose sum is σ = 41869559820. Its totient is φ = 3057647616.

The previous prime is 11572346869. The next prime is 11572346911. The reversal of 11572346880 is 8864327511.

11572346880 is a `hidden beast` number, since 11 + 572 + 3 + 4 + 68 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6136528896 + 5435817984 = 78336^2 + 73728^2 .

It is a super-2 number, since 2×11572346880² (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 an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 106168266 + ... + 106168374.

Almost surely, 2^11572346880 is an apocalyptic number.

11572346880 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 11572346880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20934779910).

11572346880 is an abundant number, since it is smaller than the sum of its proper divisors (30297212940).

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

11572346880 is an frugal number, since it uses more digits than its factorization.

11572346880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 119 counting only the distinct ones).

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

The spelling of 11572346880 in words is "eleven billion, five hundred seventy-two million, three hundred forty-six thousand, eight hundred eighty".