54020780236800 has 1764 divisors, whose sum is σ = 217593462615354. Its totient is φ = 13291211980800.

The previous prime is 54020780236757. The next prime is 54020780236807. The reversal of 54020780236800 is 863208702045.

54020780236800 is a `hidden beast` number, since 5 + 4 + 0 + 207 + 80 + 2 + 368 + 0 + 0 = 666.

It can be written as a sum of positive squares in 9 ways, for example, as 1122040221696 + 52898740015104 = 1059264^2 + 7273152^2 .

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 (54020780236807) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 25231563730 + ... + 25231565870.

Almost surely, 2^{54020780236800} is an apocalyptic number.

54020780236800 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 54020780236800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108796731307677).

54020780236800 is an abundant number, since it is smaller than the sum of its proper divisors (163572682378554).

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

54020780236800 is an equidigital number, since it uses as much as digits as its factorization.

54020780236800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2221 (or 2164 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

Adding to 54020780236800 its reverse (863208702045), we get a palindrome (54883988938845).

The spelling of 54020780236800 in words is "fifty-four trillion, twenty billion, seven hundred eighty million, two hundred thirty-six thousand, eight hundred".