1159091361792 has 1536 divisors, whose sum is σ = 4491002880000. Its totient is φ = 288873381888.

The previous prime is 1159091361781. The next prime is 1159091361803. The reversal of 1159091361792 is 2971631909511.

1159091361792 is a `hidden beast` number, since 1 + 1 + 5 + 9 + 0 + 9 + 13 + 617 + 9 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1159091361781) and next prime (1159091361803).

It is a tau number, because it is divible by the number of its divisors (1536).

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 127 ways as a sum of consecutive naturals, for example, 24661518313 + ... + 24661518359.

It is an arithmetic number, because the mean of its divisors is an integer number (2923830000).

Almost surely, 2^{1159091361792} is an apocalyptic number.

1159091361792 is a gapful number since it is divisible by the number (12) 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 1159091361792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245501440000).

1159091361792 is an abundant number, since it is smaller than the sum of its proper divisors (3331911518208).

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

1159091361792 is an equidigital number, since it uses as much as digits as its factorization.

1159091361792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 1159091361792 in words is "one trillion, one hundred fifty-nine billion, ninety-one million, three hundred sixty-one thousand, seven hundred ninety-two".