1074855746880 has 672 divisors, whose sum is σ = 4121362612224. Its totient is φ = 255724879872.

The previous prime is 1074855746821. The next prime is 1074855746893. The reversal of 1074855746880 is 886475584701.

It is a happy number.

1074855746880 is a `hidden beast` number, since 1 + 0 + 7 + 48 + 5 + 57 + 468 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 127242817 + ... + 127251263.

Almost surely, 2^{1074855746880} is an apocalyptic number.

1074855746880 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 1074855746880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2060681306112).

1074855746880 is an abundant number, since it is smaller than the sum of its proper divisors (3046506865344).

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

1074855746880 is a wasteful number, since it uses less digits than its factorization.

1074855746880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8623 (or 8610 counting only the distinct ones).

The product of its (nonzero) digits is 60211200, while the sum is 63.

The spelling of 1074855746880 in words is "one trillion, seventy-four billion, eight hundred fifty-five million, seven hundred forty-six thousand, eight hundred eighty".