1157789453056 has 72 divisors (see below), whose sum is σ = 2412796990464. Its totient is φ = 553436083200.

The previous prime is 1157789452993. The next prime is 1157789453087. The reversal of 1157789453056 is 6503549877511.

It is a junction number, because it is equal to n+sod(n) for n = 1157789452985 and 1157789453003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11437095 + ... + 11537881.

It is an arithmetic number, because the mean of its divisors is an integer number (33511069312).

Almost surely, 2^{1157789453056} is an apocalyptic number.

1157789453056 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 1157789453056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1206398495232).

1157789453056 is an abundant number, since it is smaller than the sum of its proper divisors (1255007537408).

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

1157789453056 is a wasteful number, since it uses less digits than its factorization.

1157789453056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102777 (or 102763 counting only the distinct ones).

The product of its (nonzero) digits is 31752000, while the sum is 61.

The spelling of 1157789453056 in words is "one trillion, one hundred fifty-seven billion, seven hundred eighty-nine million, four hundred fifty-three thousand, fifty-six".