491116953600 has 1728 divisors, whose sum is σ = 2257198030080. Its totient is φ = 101921587200.

The previous prime is 491116953599. The next prime is 491116953611. The reversal of 491116953600 is 6359611194.

491116953600 is a `hidden beast` number, since 4 + 91 + 116 + 95 + 360 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×491116953600² (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 95 ways as a sum of consecutive naturals, for example, 8051097570 + ... + 8051097630.

It is an arithmetic number, because the mean of its divisors is an integer number (1306248860).

Almost surely, 2^491116953600 is an apocalyptic number.

491116953600 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 491116953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128599015040).

491116953600 is an abundant number, since it is smaller than the sum of its proper divisors (1766081076480).

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

491116953600 is an equidigital number, since it uses as much as digits as its factorization.

491116953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 491116953600 in words is "four hundred ninety-one billion, one hundred sixteen million, nine hundred fifty-three thousand, six hundred".