55762421760 has 960 divisors, whose sum is σ = 216907891200. Its totient is φ = 13663862784.

The previous prime is 55762421753. The next prime is 55762421779. The reversal of 55762421760 is 6712426755.

55762421760 is a `hidden beast` number, since 5 + 5 + 7 + 624 + 2 + 17 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 705853401 + ... + 705853479.

It is an arithmetic number, because the mean of its divisors is an integer number (225945720).

Almost surely, 2^55762421760 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 55762421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108453945600).

55762421760 is an abundant number, since it is smaller than the sum of its proper divisors (161145469440).

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

55762421760 is a wasteful number, since it uses less digits than its factorization.

55762421760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 55762421760 in words is "fifty-five billion, seven hundred sixty-two million, four hundred twenty-one thousand, seven hundred sixty".