495101880000 has 2520 divisors, whose sum is σ = 2370737521152. Its totient is φ = 97542144000.

The previous prime is 495101879957. The next prime is 495101880001. The reversal of 495101880000 is 88101594.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (495101880001) by changing a digit.

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 359 ways as a sum of consecutive naturals, for example, 3898439937 + ... + 3898440063.

Almost surely, 2^495101880000 is an apocalyptic number.

495101880000 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 495101880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1185368760576).

495101880000 is an abundant number, since it is smaller than the sum of its proper divisors (1875635641152).

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

495101880000 is a wasteful number, since it uses less digits than its factorization.

495101880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 495101880000 its reverse (88101594), we get a palindrome (495189981594).

The spelling of 495101880000 in words is "four hundred ninety-five billion, one hundred one million, eight hundred eighty thousand".