495088488720 has 480 divisors, whose sum is σ = 2037967776000. Its totient is φ = 105183277056.

The previous prime is 495088488691. The next prime is 495088488749. The reversal of 495088488720 is 27884880594.

495088488720 is a `hidden beast` number, since 4 + 9 + 5 + 0 + 88 + 488 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (495088488691) and next prime (495088488749).

It is a super-2 number, since 2×495088488720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5026506 + ... + 5124054.

It is an arithmetic number, because the mean of its divisors is an integer number (4245766200).

Almost surely, 2^495088488720 is an apocalyptic number.

495088488720 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 495088488720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018983888000).

495088488720 is an abundant number, since it is smaller than the sum of its proper divisors (1542879287280).

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

495088488720 is a wasteful number, since it uses less digits than its factorization.

495088488720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97647 (or 97638 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

The spelling of 495088488720 in words is "four hundred ninety-five billion, eighty-eight million, four hundred eighty-eight thousand, seven hundred twenty".