54374659084800 has 960 divisors, whose sum is σ = 208924147998720. Its totient is φ = 13834340352000.

The previous prime is 54374659084751. The next prime is 54374659084807. The reversal of 54374659084800 is 848095647345.

54374659084800 is a `hidden beast` number, since 5 + 4 + 3 + 7 + 4 + 65 + 90 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (54374659084807) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 760629859 + ... + 760701341.

It is an arithmetic number, because the mean of its divisors is an integer number (217629320832).

Almost surely, 2^{54374659084800} is an apocalyptic number.

54374659084800 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 54374659084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104462073999360).

54374659084800 is an abundant number, since it is smaller than the sum of its proper divisors (154549488913920).

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

54374659084800 is a wasteful number, since it uses less digits than its factorization.

54374659084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71622 (or 71595 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 54374659084800 in words is "fifty-four trillion, three hundred seventy-four billion, six hundred fifty-nine million, eighty-four thousand, eight hundred".