1171520204400 has 3360 divisors, whose sum is σ = 5717390313600. Its totient is φ = 228248616960.

The previous prime is 1171520204353. The next prime is 1171520204419. The reversal of 1171520204400 is 44020251711.

1171520204400 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 52 + 0 + 204 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 671 ways as a sum of consecutive naturals, for example, 22104154774 + ... + 22104154826.

It is an arithmetic number, because the mean of its divisors is an integer number (1701604260).

Almost surely, 2^{1171520204400} is an apocalyptic number.

1171520204400 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 1171520204400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858695156800).

1171520204400 is an abundant number, since it is smaller than the sum of its proper divisors (4545870109200).

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

1171520204400 is a wasteful number, since it uses less digits than its factorization.

1171520204400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The spelling of 1171520204400 in words is "one trillion, one hundred seventy-one billion, five hundred twenty million, two hundred four thousand, four hundred".