11177862026772 has 192 divisors, whose sum is σ = 32115275071488. Its totient is φ = 2955511152000.

The previous prime is 11177862026767. The next prime is 11177862026789. The reversal of 11177862026772 is 27762026877111.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 253380997 + ... + 253425107.

It is an arithmetic number, because the mean of its divisors is an integer number (167267057664).

Almost surely, 2^{11177862026772} is an apocalyptic number.

11177862026772 is a gapful number since it is divisible by the number (12) 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 11177862026772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16057637535744).

11177862026772 is an abundant number, since it is smaller than the sum of its proper divisors (20937413044716).

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

11177862026772 is a wasteful number, since it uses less digits than its factorization.

11177862026772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48410 (or 48408 counting only the distinct ones).

The product of its (nonzero) digits is 5531904, while the sum is 57.

The spelling of 11177862026772 in words is "eleven trillion, one hundred seventy-seven billion, eight hundred sixty-two million, twenty-six thousand, seven hundred seventy-two".