545567813100 has 540 divisors, whose sum is σ = 1960539611184. Its totient is φ = 130960558080.

The previous prime is 545567813071. The next prime is 545567813111. The reversal of 545567813100 is 1318765545.

545567813100 is a `hidden beast` number, since 5 + 4 + 5 + 567 + 81 + 3 + 1 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (540).

It is a super-2 number, since 2×545567813100² (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 179 ways as a sum of consecutive naturals, for example, 53835634 + ... + 53845766.

Almost surely, 2^545567813100 is an apocalyptic number.

545567813100 is a gapful number since it is divisible by the number (50) 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 545567813100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (980269805592).

545567813100 is an abundant number, since it is smaller than the sum of its proper divisors (1414971798084).

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

545567813100 is a wasteful number, since it uses less digits than its factorization.

545567813100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10216 (or 10183 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 545567813100 in words is "five hundred forty-five billion, five hundred sixty-seven million, eight hundred thirteen thousand, one hundred".