55311072960 has 896 divisors, whose sum is σ = 218852057088. Its totient is φ = 11649024000.

The previous prime is 55311072953. The next prime is 55311072977. The reversal of 55311072960 is 6927011355.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 174482722 + ... + 174483038.

It is an arithmetic number, because the mean of its divisors is an integer number (244254528).

Almost surely, 2^55311072960 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 55311072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109426028544).

55311072960 is an abundant number, since it is smaller than the sum of its proper divisors (163540984128).

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

55311072960 is a wasteful number, since it uses less digits than its factorization.

55311072960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The spelling of 55311072960 in words is "fifty-five billion, three hundred eleven million, seventy-two thousand, nine hundred sixty".