1161957851340 has 768 divisors, whose sum is σ = 4082723979264. Its totient is φ = 242907033600.

The previous prime is 1161957851339. The next prime is 1161957851347. The reversal of 1161957851340 is 431587591611.

It is not an unprimeable number, because it can be changed into a prime (1161957851347) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1779414454 + ... + 1779415106.

It is an arithmetic number, because the mean of its divisors is an integer number (5316046848).

Almost surely, 2^{1161957851340} is an apocalyptic number.

1161957851340 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 1161957851340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2041361989632).

1161957851340 is an abundant number, since it is smaller than the sum of its proper divisors (2920766127924).

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

1161957851340 is a wasteful number, since it uses less digits than its factorization.

1161957851340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 908 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 51.

The spelling of 1161957851340 in words is "one trillion, one hundred sixty-one billion, nine hundred fifty-seven million, eight hundred fifty-one thousand, three hundred forty".