495201163960800 has 720 divisors, whose sum is σ = 2055730813057152. Its totient is φ = 114829251609600.

The previous prime is 495201163960757. The next prime is 495201163960807. The reversal of 495201163960800 is 8069361102594.

495201163960800 is a `hidden beast` number, since 4 + 9 + 5 + 20 + 1 + 1 + 6 + 3 + 9 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×495201163960800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495201163960807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1291647 + ... + 31497153.

Almost surely, 2^{495201163960800} is an apocalyptic number.

495201163960800 is a gapful number since it is divisible by the number (40) 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 495201163960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027865406528576).

495201163960800 is an abundant number, since it is smaller than the sum of its proper divisors (1560529649096352).

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

495201163960800 is a wasteful number, since it uses less digits than its factorization.

495201163960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30205573 (or 30205551 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 495201163960800 in words is "four hundred ninety-five trillion, two hundred one billion, one hundred sixty-three million, nine hundred sixty thousand, eight hundred".