1072775991000 has 512 divisors, whose sum is σ = 3889348669440. Its totient is φ = 241113600000.

The previous prime is 1072775990989. The next prime is 1072775991017. The reversal of 1072775991000 is 1995772701.

It is a Cunningham number, because it is equal to 1035749²-1.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 776810310 + ... + 776811690.

It is an arithmetic number, because the mean of its divisors is an integer number (7596384120).

Almost surely, 2^{1072775991000} is an apocalyptic number.

1072775991000 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 1072775991000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1944674334720).

1072775991000 is an abundant number, since it is smaller than the sum of its proper divisors (2816572678440).

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

1072775991000 is a wasteful number, since it uses less digits than its factorization.

1072775991000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2004 (or 1990 counting only the distinct ones).

The product of its (nonzero) digits is 277830, while the sum is 48.

The spelling of 1072775991000 in words is "one trillion, seventy-two billion, seven hundred seventy-five million, nine hundred ninety-one thousand".