1161338757120 has 1568 divisors, whose sum is σ = 4641395644800. Its totient is φ = 277481521152.

The previous prime is 1161338757119. The next prime is 1161338757133. The reversal of 1161338757120 is 217578331611.

1161338757120 is a `hidden beast` number, since 1 + 1 + 613 + 3 + 8 + 7 + 5 + 7 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 13048750036 + ... + 13048750124.

Almost surely, 2^{1161338757120} is an apocalyptic number.

1161338757120 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 1161338757120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2320697822400).

1161338757120 is an abundant number, since it is smaller than the sum of its proper divisors (3480056887680).

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

1161338757120 is an frugal number, since it uses more digits than its factorization.

1161338757120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 1161338757120 in words is "one trillion, one hundred sixty-one billion, three hundred thirty-eight million, seven hundred fifty-seven thousand, one hundred twenty".