1161711119400 has 192 divisors, whose sum is σ = 4106465294400. Its totient is φ = 269138472960.

The previous prime is 1161711119389. The next prime is 1161711119411. The reversal of 1161711119400 is 49111171611.

It is an interprime number because it is at equal distance from previous prime (1161711119389) and next prime (1161711119411).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4247910 + ... + 4513109.

It is an arithmetic number, because the mean of its divisors is an integer number (21387840075).

Almost surely, 2^{1161711119400} is an apocalyptic number.

1161711119400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1161711119400 is an abundant number, since it is smaller than the sum of its proper divisors (2944754175000).

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

1161711119400 is a wasteful number, since it uses less digits than its factorization.

1161711119400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8761068 (or 8761059 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 33.

The spelling of 1161711119400 in words is "one trillion, one hundred sixty-one billion, seven hundred eleven million, one hundred nineteen thousand, four hundred".