54397617120 has 1440 divisors, whose sum is σ = 254282789376. Its totient is φ = 10637568000.

The previous prime is 54397617119. The next prime is 54397617121. The reversal of 54397617120 is 2171679345.

54397617120 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 7 + 617 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (54397617119) and next prime (54397617121).

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 not an unprimeable number, because it can be changed into a prime (54397617121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 360249045 + ... + 360249195.

Almost surely, 2^54397617120 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 54397617120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127141394688).

54397617120 is an abundant number, since it is smaller than the sum of its proper divisors (199885172256).

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

54397617120 is a wasteful number, since it uses less digits than its factorization.

54397617120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 54397617120 in words is "fifty-four billion, three hundred ninety-seven million, six hundred seventeen thousand, one hundred twenty".