55077200640 has 720 divisors, whose sum is σ = 245741126400. Its totient is φ = 11442954240.

The previous prime is 55077200459. The next prime is 55077200641. The reversal of 55077200640 is 4600277055.

55077200640 is a `hidden beast` number, since 5 + 5 + 0 + 7 + 7 + 2 + 0 + 0 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 55077200595 and 55077200604.

It is not an unprimeable number, because it can be changed into a prime (55077200641) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7979911 + ... + 7986809.

It is an arithmetic number, because the mean of its divisors is an integer number (341307120).

Almost surely, 2^55077200640 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 55077200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122870563200).

55077200640 is an abundant number, since it is smaller than the sum of its proper divisors (190663925760).

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

55077200640 is a wasteful number, since it uses less digits than its factorization.

55077200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6950 (or 6927 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

Adding to 55077200640 its reverse (4600277055), we get a palindrome (59677477695).

The spelling of 55077200640 in words is "fifty-five billion, seventy-seven million, two hundred thousand, six hundred forty".