1179601557120 has 2048 divisors, whose sum is σ = 5217177600000. Its totient is φ = 245949530112.

The previous prime is 1179601557103. The next prime is 1179601557131. The reversal of 1179601557120 is 217551069711.

1179601557120 is a `hidden beast` number, since 1 + 1 + 7 + 9 + 60 + 15 + 571 + 2 + 0 = 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 255 ways as a sum of consecutive naturals, for example, 13253950036 + ... + 13253950124.

It is an arithmetic number, because the mean of its divisors is an integer number (2547450000).

Almost surely, 2^{1179601557120} is an apocalyptic number.

1179601557120 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 1179601557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2608588800000).

1179601557120 is an abundant number, since it is smaller than the sum of its proper divisors (4037576042880).

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

1179601557120 is a wasteful number, since it uses less digits than its factorization.

1179601557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 45.

The spelling of 1179601557120 in words is "one trillion, one hundred seventy-nine billion, six hundred one million, five hundred fifty-seven thousand, one hundred twenty".