55319224680 has 192 divisors, whose sum is σ = 190490985360. Its totient is φ = 13874724864.

The previous prime is 55319224633. The next prime is 55319224691. The reversal of 55319224680 is 8642291355.

55319224680 is a `hidden beast` number, since 5 + 531 + 92 + 24 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17198224164 + 38121000516 = 131142^2 + 195246^2 .

It is a super-2 number, since 2×55319224680² (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 16112244 + ... + 16115676.

Almost surely, 2^55319224680 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 55319224680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95245492680).

55319224680 is an abundant number, since it is smaller than the sum of its proper divisors (135171760680).

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

55319224680 is a wasteful number, since it uses less digits than its factorization.

55319224680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6100 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 55319224680 in words is "fifty-five billion, three hundred nineteen million, two hundred twenty-four thousand, six hundred eighty".