1179171201600 has 378 divisors, whose sum is σ = 4875309312354. Its totient is φ = 269524684800.

The previous prime is 1179171201587. The next prime is 1179171201623. The reversal of 1179171201600 is 61021719711.

1179171201600 is a `hidden beast` number, since 1 + 17 + 9 + 17 + 1 + 20 + 1 + 600 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 274039686144 + 905131515456 = 523488^2 + 951384^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 129981 + ... + 1541180.

Almost surely, 2^{1179171201600} is an apocalyptic number.

1179171201600 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 1179171201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2437654656177).

1179171201600 is an abundant number, since it is smaller than the sum of its proper divisors (3696138110754).

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

1179171201600 is a wasteful number, since it uses less digits than its factorization.

1179171201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1671203 (or 1671178 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 36.

The spelling of 1179171201600 in words is "one trillion, one hundred seventy-nine billion, one hundred seventy-one million, two hundred one thousand, six hundred".