55467256320 has 960 divisors, whose sum is σ = 241450260480. Its totient is φ = 11474141184.

The previous prime is 55467256291. The next prime is 55467256321. The reversal of 55467256320 is 2365276455.

55467256320 is a `hidden beast` number, since 5 + 5 + 4 + 6 + 7 + 2 + 5 + 632 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (55467256321) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 70478967 + ... + 70479753.

It is an arithmetic number, because the mean of its divisors is an integer number (251510688).

Almost surely, 2^55467256320 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 55467256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120725130240).

55467256320 is an abundant number, since it is smaller than the sum of its proper divisors (185983004160).

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

55467256320 is a wasteful number, since it uses less digits than its factorization.

55467256320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 55467256320 in words is "fifty-five billion, four hundred sixty-seven million, two hundred fifty-six thousand, three hundred twenty".