54285383040 has 768 divisors, whose sum is σ = 211355179200. Its totient is φ = 11801395200.

The previous prime is 54285383039. The next prime is 54285383041. The reversal of 54285383040 is 4038358245.

It is an interprime number because it is at equal distance from previous prime (54285383039) and next prime (54285383041).

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

It is a junction number, because it is equal to n+sod(n) for n = 54285382983 and 54285383001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54285383041) 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, 275560222 + ... + 275560418.

Almost surely, 2^54285383040 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 54285383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105677589600).

54285383040 is an abundant number, since it is smaller than the sum of its proper divisors (157069796160).

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

54285383040 is a wasteful number, since it uses less digits than its factorization.

54285383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 54285383040 in words is "fifty-four billion, two hundred eighty-five million, three hundred eighty-three thousand, forty".