55146633360 has 640 divisors, whose sum is σ = 215772856320. Its totient is φ = 11410274304.

The previous prime is 55146633349. The next prime is 55146633361. The reversal of 55146633360 is 6333664155.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (55146633361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 247294209 + ... + 247294431.

It is an arithmetic number, because the mean of its divisors is an integer number (337145088).

Almost surely, 2^55146633360 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 55146633360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107886428160).

55146633360 is an abundant number, since it is smaller than the sum of its proper divisors (160626222960).

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

55146633360 is a wasteful number, since it uses less digits than its factorization.

55146633360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 42.

The spelling of 55146633360 in words is "fifty-five billion, one hundred forty-six million, six hundred thirty-three thousand, three hundred sixty".