1157763784320 has 1536 divisors, whose sum is σ = 5057560166400. Its totient is φ = 247657512960.

The previous prime is 1157763784301. The next prime is 1157763784337. The reversal of 1157763784320 is 234873677511.

1157763784320 is a `hidden beast` number, since 1 + 1 + 577 + 6 + 3 + 7 + 8 + 43 + 20 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 738840177 + ... + 738841743.

It is an arithmetic number, because the mean of its divisors is an integer number (3292682400).

Almost surely, 2^{1157763784320} is an apocalyptic number.

1157763784320 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 1157763784320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2528780083200).

1157763784320 is an abundant number, since it is smaller than the sum of its proper divisors (3899796382080).

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

1157763784320 is a wasteful number, since it uses less digits than its factorization.

1157763784320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1624 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 1157763784320 in words is "one trillion, one hundred fifty-seven billion, seven hundred sixty-three million, seven hundred eighty-four thousand, three hundred twenty".