54471684339072 has 5760 divisors, whose sum is σ = 244959087098880. Its totient is φ = 11794935398400.

The previous prime is 54471684339049. The next prime is 54471684339073. The reversal of 54471684339072 is 27093348617445.

54471684339072 is a `hidden beast` number, since 5 + 4 + 4 + 71 + 68 + 433 + 9 + 0 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54471684339073) by changing a digit.

It is a polite number, since it can be written in 719 ways as a sum of consecutive naturals, for example, 813010213983 + ... + 813010214049.

It is an arithmetic number, because the mean of its divisors is an integer number (42527619288).

It is a 1-persistent number, because it is pandigital, but 2⋅54471684339072 = 108943368678144 is not.

Almost surely, 2^{54471684339072} is an apocalyptic number.

54471684339072 is a gapful number since it is divisible by the number (52) 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 54471684339072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122479543549440).

54471684339072 is an abundant number, since it is smaller than the sum of its proper divisors (190487402759808).

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

54471684339072 is a wasteful number, since it uses less digits than its factorization.

54471684339072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 121927680, while the sum is 63.

The spelling of 54471684339072 in words is "fifty-four trillion, four hundred seventy-one billion, six hundred eighty-four million, three hundred thirty-nine thousand, seventy-two".