545085146692800 has 4032 divisors, whose sum is σ = 2659438385049600. Its totient is φ = 107502590361600.

The previous prime is 545085146692657. The next prime is 545085146692813. The reversal of 545085146692800 is 8296641580545.

545085146692800 is a `hidden beast` number, since 5 + 4 + 5 + 0 + 8 + 5 + 1 + 466 + 92 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a super-2 number, since 2×545085146692800² (a number of 30 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21195505542 + ... + 21195531258.

It is an arithmetic number, because the mean of its divisors is an integer number (659582932800).

Almost surely, 2^{545085146692800} is an apocalyptic number.

545085146692800 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 545085146692800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1329719192524800).

545085146692800 is an abundant number, since it is smaller than the sum of its proper divisors (2114353238356800).

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

545085146692800 is a wasteful number, since it uses less digits than its factorization.

545085146692800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25829 (or 25801 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 545085146692800 in words is "five hundred forty-five trillion, eighty-five billion, one hundred forty-six million, six hundred ninety-two thousand, eight hundred".