11572733340 has 432 divisors, whose sum is σ = 43399347264. Its totient is φ = 2444083200.

The previous prime is 11572733339. The next prime is 11572733369. The reversal of 11572733340 is 4333727511.

11572733340 is a `hidden beast` number, since 1 + 1 + 57 + 273 + 334 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11572733295 and 11572733304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 22212280 + ... + 22212800.

It is an arithmetic number, because the mean of its divisors is an integer number (100461452).

Almost surely, 2^11572733340 is an apocalyptic number.

11572733340 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 11572733340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21699673632).

11572733340 is an abundant number, since it is smaller than the sum of its proper divisors (31826613924).

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

11572733340 is a wasteful number, since it uses less digits than its factorization.

11572733340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 11572733340 in words is "eleven billion, five hundred seventy-two million, seven hundred thirty-three thousand, three hundred forty".