55619442305280 has 576 divisors, whose sum is σ = 225597559380480. Its totient is φ = 12711334772736.

The previous prime is 55619442305279. The next prime is 55619442305303. The reversal of 55619442305280 is 8250324491655.

55619442305280 is a `hidden beast` number, since 5 + 5 + 6 + 1 + 94 + 4 + 23 + 0 + 528 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (54) 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 (54).

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, 3429691732 + ... + 3429707948.

It is an arithmetic number, because the mean of its divisors is an integer number (391662429480).

Almost surely, 2^{55619442305280} 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 55619442305280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112798779690240).

55619442305280 is an abundant number, since it is smaller than the sum of its proper divisors (169978117075200).

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

55619442305280 is a wasteful number, since it uses less digits than its factorization.

55619442305280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30431 (or 30411 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 55619442305280 in words is "fifty-five trillion, six hundred nineteen billion, four hundred forty-two million, three hundred five thousand, two hundred eighty".