1072763191296 has 150 divisors (see below), whose sum is σ = 3204951738450. Its totient is φ = 357587288064.

The previous prime is 1072763191273. The next prime is 1072763191321. The reversal of 1072763191296 is 6921913672701.

1072763191296 is a `hidden beast` number, since 10 + 7 + 27 + 6 + 319 + 1 + 296 = 666.

It can be written as a sum of positive squares in only one way, i.e., 958832640000 + 113930551296 = 979200^2 + 337536^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 922930 + ... + 1731278.

It is an arithmetic number, because the mean of its divisors is an integer number (21366344923).

Almost surely, 2^{1072763191296} is an apocalyptic number.

1072763191296 is a gapful number since it is divisible by the number (16) 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 1072763191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1602475869225).

1072763191296 is an abundant number, since it is smaller than the sum of its proper divisors (2132188547154).

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

1072763191296 is an frugal number, since it uses more digits than its factorization.

1072763191296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808389 (or 808354 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 1072763191296 in words is "one trillion, seventy-two billion, seven hundred sixty-three million, one hundred ninety-one thousand, two hundred ninety-six".