54233671680 has 576 divisors, whose sum is σ = 199189186560. Its totient is φ = 13624934400.

The previous prime is 54233671663. The next prime is 54233671691. The reversal of 54233671680 is 8617633245.

54233671680 is a `hidden beast` number, since 5 + 423 + 3 + 67 + 168 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×54233671680² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117135129 + ... + 117135591.

It is an arithmetic number, because the mean of its divisors is an integer number (345814560).

Almost surely, 2^54233671680 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 54233671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99594593280).

54233671680 is an abundant number, since it is smaller than the sum of its proper divisors (144955514880).

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

54233671680 is a wasteful number, since it uses less digits than its factorization.

54233671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 54233671680 in words is "fifty-four billion, two hundred thirty-three million, six hundred seventy-one thousand, six hundred eighty".