54690509328 has 640 divisors, whose sum is σ = 193037644800. Its totient is φ = 12931301376.

The previous prime is 54690509327. The next prime is 54690509351. The reversal of 54690509328 is 82390509645.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (54690509327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 234723100 + ... + 234723332.

It is an arithmetic number, because the mean of its divisors is an integer number (301621320).

Almost surely, 2^54690509328 is an apocalyptic number.

54690509328 is a gapful number since it is divisible by the number (58) 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 54690509328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

54690509328 is an abundant number, since it is smaller than the sum of its proper divisors (138347135472).

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

54690509328 is a wasteful number, since it uses less digits than its factorization.

54690509328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 54690509328 in words is "fifty-four billion, six hundred ninety million, five hundred nine thousand, three hundred twenty-eight".