544955251680 has 768 divisors, whose sum is σ = 2252700979200. Its totient is φ = 120464547840.

The previous prime is 544955251667. The next prime is 544955251693. The reversal of 544955251680 is 86152559445.

544955251680 is a `hidden beast` number, since 5 + 4 + 4 + 9 + 552 + 5 + 1 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (544955251667) and next prime (544955251693).

It is a super-2 number, since 2×544955251680² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 113790726 + ... + 113795514.

It is an arithmetic number, because the mean of its divisors is an integer number (2933204400).

Almost surely, 2^544955251680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 544955251680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1126350489600).

544955251680 is an abundant number, since it is smaller than the sum of its proper divisors (1707745727520).

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

544955251680 is a wasteful number, since it uses less digits than its factorization.

544955251680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4944 (or 4930 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 544955251680 in words is "five hundred forty-four billion, nine hundred fifty-five million, two hundred fifty-one thousand, six hundred eighty".