5191046960400 has 180 divisors, whose sum is σ = 20587857140032. Its totient is φ = 1186525013760.

The previous prime is 5191046960369. The next prime is 5191046960417. The reversal of 5191046960400 is 40696401915.

It is a happy number.

5191046960400 is a `hidden beast` number, since 5 + 1 + 91 + 0 + 469 + 60 + 40 + 0 = 666.

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

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 35 ways as a sum of consecutive naturals, for example, 102971764 + ... + 103022163.

Almost surely, 2^{5191046960400} is an apocalyptic number.

5191046960400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5191046960400 is an abundant number, since it is smaller than the sum of its proper divisors (15396810179632).

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

5191046960400 is a wasteful number, since it uses less digits than its factorization.

5191046960400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205993958 (or 205993944 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 5191046960400 in words is "five trillion, one hundred ninety-one billion, forty-six million, nine hundred sixty thousand, four hundred".