11057514930 has 960 divisors, whose sum is σ = 41951416320. Its totient is φ = 2057529600.

The previous prime is 11057514907. The next prime is 11057514943. The reversal of 11057514930 is 3941575011.

It is a happy number.

11057514930 is a `hidden beast` number, since 1 + 1 + 0 + 57 + 514 + 93 + 0 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 257151489 + ... + 257151531.

It is an arithmetic number, because the mean of its divisors is an integer number (43699392).

Almost surely, 2^11057514930 is an apocalyptic number.

11057514930 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11057514930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20975708160).

11057514930 is an abundant number, since it is smaller than the sum of its proper divisors (30893901390).

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

11057514930 is a wasteful number, since it uses less digits than its factorization.

11057514930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 11057514930 in words is "eleven billion, fifty-seven million, five hundred fourteen thousand, nine hundred thirty".