5900163436800 has 1296 divisors, whose sum is σ = 22262115133440. Its totient is φ = 1489010688000.

The previous prime is 5900163436757. The next prime is 5900163436823. The reversal of 5900163436800 is 86343610095.

5900163436800 is a `hidden beast` number, since 5 + 9 + 0 + 0 + 1 + 634 + 3 + 6 + 8 + 0 + 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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21771820665 + ... + 21771820935.

Almost surely, 2^{5900163436800} is an apocalyptic number.

5900163436800 is a gapful number since it is divisible by the number (50) 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 5900163436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11131057566720).

5900163436800 is an abundant number, since it is smaller than the sum of its proper divisors (16361951696640).

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

5900163436800 is a wasteful number, since it uses less digits than its factorization.

5900163436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 560 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 5900163436800 in words is "five trillion, nine hundred billion, one hundred sixty-three million, four hundred thirty-six thousand, eight hundred".