54253183104000 has 2464 divisors, whose sum is σ = 224361988770816. Its totient is φ = 13015705190400.

The previous prime is 54253183103969. The next prime is 54253183104013. The reversal of 54253183104000 is 40138135245.

54253183104000 is a `hidden beast` number, since 5 + 4 + 2 + 531 + 83 + 1 + 0 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 36484991257 + ... + 36484992743.

Almost surely, 2^{54253183104000} is an apocalyptic number.

54253183104000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54253183104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112180994385408).

54253183104000 is an abundant number, since it is smaller than the sum of its proper divisors (170108805666816).

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

54253183104000 is a wasteful number, since it uses less digits than its factorization.

54253183104000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54253183104000 in words is "fifty-four trillion, two hundred fifty-three billion, one hundred eighty-three million, one hundred four thousand".