55865404080 has 320 divisors, whose sum is σ = 204286924800. Its totient is φ = 13983805440.

The previous prime is 55865404051. The next prime is 55865404109. The reversal of 55865404080 is 8040456855.

55865404080 is a `hidden beast` number, since 558 + 6 + 54 + 0 + 40 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (55865404051) and next prime (55865404109).

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 63 ways as a sum of consecutive naturals, for example, 15383865 + ... + 15387495.

It is an arithmetic number, because the mean of its divisors is an integer number (638396640).

Almost surely, 2^55865404080 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 55865404080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102143462400).

55865404080 is an abundant number, since it is smaller than the sum of its proper divisors (148421520720).

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

55865404080 is a wasteful number, since it uses less digits than its factorization.

55865404080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4089 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 55865404080 in words is "fifty-five billion, eight hundred sixty-five million, four hundred four thousand, eighty".