54073471076352 has 2880 divisors, whose sum is σ = 221376193758720. Its totient is φ = 12975892070400.

The previous prime is 54073471076351. The next prime is 54073471076389. The reversal of 54073471076352 is 25367017437045.

54073471076352 is a `hidden beast` number, since 5 + 4 + 0 + 73 + 471 + 0 + 76 + 35 + 2 = 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 (54073471076351) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 55688435227 + ... + 55688436197.

It is an arithmetic number, because the mean of its divisors is an integer number (76866733944).

Almost surely, 2^{54073471076352} is an apocalyptic number.

54073471076352 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 54073471076352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110688096879360).

54073471076352 is an abundant number, since it is smaller than the sum of its proper divisors (167302722682368).

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

54073471076352 is a wasteful number, since it uses less digits than its factorization.

54073471076352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1080 (or 1044 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 54.

The spelling of 54073471076352 in words is "fifty-four trillion, seventy-three billion, four hundred seventy-one million, seventy-six thousand, three hundred fifty-two".