55302888960 has 480 divisors, whose sum is σ = 215711907840. Its totient is φ = 12972441600.

The previous prime is 55302888943. The next prime is 55302888983. The reversal of 55302888960 is 6988820355.

55302888960 is a `hidden beast` number, since 5 + 530 + 28 + 8 + 89 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55302888897 and 55302888906.

It is a congruent number.

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, 7853121 + ... + 7860159.

It is an arithmetic number, because the mean of its divisors is an integer number (449399808).

Almost surely, 2^55302888960 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 55302888960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107855953920).

55302888960 is an abundant number, since it is smaller than the sum of its proper divisors (160409018880).

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

55302888960 is a wasteful number, since it uses less digits than its factorization.

55302888960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7110 (or 7091 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 55302888960 in words is "fifty-five billion, three hundred two million, eight hundred eighty-eight thousand, nine hundred sixty".