1011828746880 has 384 divisors, whose sum is σ = 3994841260800. Its totient is φ = 231174881280.

The previous prime is 1011828746879. The next prime is 1011828746909. The reversal of 1011828746880 is 886478281101.

1011828746880 is a `hidden beast` number, since 10 + 1 + 18 + 2 + 87 + 468 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1011828746880² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 133818300 + ... + 133825860.

It is an arithmetic number, because the mean of its divisors is an integer number (10403232450).

Almost surely, 2^{1011828746880} is an apocalyptic number.

1011828746880 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 1011828746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1997420630400).

1011828746880 is an abundant number, since it is smaller than the sum of its proper divisors (2983012513920).

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

1011828746880 is a wasteful number, since it uses less digits than its factorization.

1011828746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10912 (or 10897 counting only the distinct ones).

The product of its (nonzero) digits is 1376256, while the sum is 54.

The spelling of 1011828746880 in words is "one trillion, eleven billion, eight hundred twenty-eight million, seven hundred forty-six thousand, eight hundred eighty".