11557300734 has 192 divisors, whose sum is σ = 31108147200. Its totient is φ = 3027787776.

The previous prime is 11557300637. The next prime is 11557300739. The reversal of 11557300734 is 43700375511.

11557300734 is a `hidden beast` number, since 1 + 1 + 557 + 30 + 0 + 73 + 4 = 666.

It is a super-2 number, since 2×11557300734² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11557300739) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 10023102 + ... + 10024254.

It is an arithmetic number, because the mean of its divisors is an integer number (162021600).

Almost surely, 2^11557300734 is an apocalyptic number.

11557300734 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11557300734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15554073600).

11557300734 is an abundant number, since it is smaller than the sum of its proper divisors (19550846466).

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

11557300734 is a wasteful number, since it uses less digits than its factorization.

11557300734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319 (or 1316 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The spelling of 11557300734 in words is "eleven billion, five hundred fifty-seven million, three hundred thousand, seven hundred thirty-four".