54329425920 has 1440 divisors, whose sum is σ = 251021433600. Its totient is φ = 10899947520.

The previous prime is 54329425889. The next prime is 54329425939. The reversal of 54329425920 is 2952492345.

54329425920 is a `hidden beast` number, since 54 + 3 + 2 + 9 + 4 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1873428466 + ... + 1873428494.

It is an arithmetic number, because the mean of its divisors is an integer number (174320440).

Almost surely, 2^54329425920 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 54329425920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125510716800).

54329425920 is an abundant number, since it is smaller than the sum of its proper divisors (196692007680).

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

54329425920 is a wasteful number, since it uses less digits than its factorization.

54329425920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

It can be divided in two parts, 54329 and 425920, that added together give a square (480249 = 693²).

The spelling of 54329425920 in words is "fifty-four billion, three hundred twenty-nine million, four hundred twenty-five thousand, nine hundred twenty".