1157760195312 has 240 divisors, whose sum is σ = 3523318555680. Its totient is φ = 326614063104.

The previous prime is 1157760195269. The next prime is 1157760195323. The reversal of 1157760195312 is 2135910677511.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75108118 + ... + 75123530.

It is an arithmetic number, because the mean of its divisors is an integer number (14680493982).

Almost surely, 2^{1157760195312} is an apocalyptic number.

1157760195312 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 1157760195312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761659277840).

1157760195312 is an abundant number, since it is smaller than the sum of its proper divisors (2365558360368).

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

1157760195312 is a wasteful number, since it uses less digits than its factorization.

1157760195312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15840 (or 15827 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 48.

The spelling of 1157760195312 in words is "one trillion, one hundred fifty-seven billion, seven hundred sixty million, one hundred ninety-five thousand, three hundred twelve".