11077983504 has 225 divisors, whose sum is σ = 36371161463. Its totient is φ = 3147455808.

The previous prime is 11077983493. The next prime is 11077983509. The reversal of 11077983504 is 40538977011.

The square root of 11077983504 is 105252.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×11077983504² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11077983504.

It is not an unprimeable number, because it can be changed into a prime (11077983509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 61888087 + ... + 61888265.

Almost surely, 2^11077983504 is an apocalyptic number.

11077983504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11077983504 is the 105252-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11077983504

11077983504 is an abundant number, since it is smaller than the sum of its proper divisors (25293177959).

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

11077983504 is an frugal number, since it uses more digits than its factorization.

11077983504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 11077983504 in words is "eleven billion, seventy-seven million, nine hundred eighty-three thousand, five hundred four".