1178779928400 has 180 divisors, whose sum is σ = 4131196983420. Its totient is φ = 311228928000.

The previous prime is 1178779928399. The next prime is 1178779928429. The reversal of 1178779928400 is 48299778711.

1178779928400 is a `hidden beast` number, since 1 + 1 + 78 + 7 + 79 + 92 + 8 + 400 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 92398976784 + 1086380951616 = 303972^2 + 1042296^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1257385 + ... + 1984584.

Almost surely, 2^{1178779928400} is an apocalyptic number.

1178779928400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1178779928400 is an abundant number, since it is smaller than the sum of its proper divisors (2952417055020).

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

1178779928400 is a wasteful number, since it uses less digits than its factorization.

1178779928400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242094 (or 3242080 counting only the distinct ones).

The product of its (nonzero) digits is 14224896, while the sum is 63.

The spelling of 1178779928400 in words is "one trillion, one hundred seventy-eight billion, seven hundred seventy-nine million, nine hundred twenty-eight thousand, four hundred".