492107517720 has 512 divisors, whose sum is σ = 2027047680000. Its totient is φ = 103410432000.

The previous prime is 492107517719. The next prime is 492107517757. The reversal of 492107517720 is 27715701294.

492107517720 is a `hidden beast` number, since 4 + 9 + 2 + 107 + 517 + 7 + 20 = 666.

It is a super-2 number, since 2×492107517720² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 24658306 + ... + 24678254.

It is an arithmetic number, because the mean of its divisors is an integer number (3959077500).

Almost surely, 2^492107517720 is an apocalyptic number.

492107517720 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 492107517720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1013523840000).

492107517720 is an abundant number, since it is smaller than the sum of its proper divisors (1534940162280).

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

492107517720 is a wasteful number, since it uses less digits than its factorization.

492107517720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20240 (or 20230 counting only the distinct ones).

The product of its (nonzero) digits is 246960, while the sum is 45.

The spelling of 492107517720 in words is "four hundred ninety-two billion, one hundred seven million, five hundred seventeen thousand, seven hundred twenty".