54771820213680 has 400 divisors, whose sum is σ = 192914698204800. Its totient is φ = 14400268646400.

The previous prime is 54771820213651. The next prime is 54771820213687. The reversal of 54771820213680 is 8631202817745.

54771820213680 is a `hidden beast` number, since 5 + 4 + 7 + 71 + 8 + 202 + 1 + 368 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (54771820213687) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 358779606 + ... + 358932234.

It is an arithmetic number, because the mean of its divisors is an integer number (482286745512).

Almost surely, 2^{54771820213680} 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 54771820213680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96457349102400).

54771820213680 is an abundant number, since it is smaller than the sum of its proper divisors (138142877991120).

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

54771820213680 is a wasteful number, since it uses less digits than its factorization.

54771820213680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153434 (or 153419 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 54771820213680 in words is "fifty-four trillion, seven hundred seventy-one billion, eight hundred twenty million, two hundred thirteen thousand, six hundred eighty".