11061385920 has 560 divisors, whose sum is σ = 44889834528. Its totient is φ = 2561310720.

The previous prime is 11061385889. The next prime is 11061385921. The reversal of 11061385920 is 2958316011.

11061385920 is a `hidden beast` number, since 1 + 1 + 0 + 61 + 3 + 8 + 592 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (11061385921) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5727355 + ... + 5729285.

Almost surely, 2^11061385920 is an apocalyptic number.

11061385920 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 11061385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22444917264).

11061385920 is an abundant number, since it is smaller than the sum of its proper divisors (33828448608).

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

11061385920 is a wasteful number, since it uses less digits than its factorization.

11061385920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1990 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The spelling of 11061385920 in words is "eleven billion, sixty-one million, three hundred eighty-five thousand, nine hundred twenty".