54414069360 has 320 divisors, whose sum is σ = 199639793664. Its totient is φ = 11997619200.

The previous prime is 54414069341. The next prime is 54414069361. The reversal of 54414069360 is 6396041445.

It is a happy number.

54414069360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54414069361) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18070255 + ... + 18073265.

Almost surely, 2^54414069360 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 54414069360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99819896832).

54414069360 is an abundant number, since it is smaller than the sum of its proper divisors (145225724304).

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

54414069360 is a wasteful number, since it uses less digits than its factorization.

54414069360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3412 (or 3406 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 42.

The spelling of 54414069360 in words is "fifty-four billion, four hundred fourteen million, sixty-nine thousand, three hundred sixty".