54131074905600 has 4320 divisors, whose sum is σ = 274096220112000. Its totient is φ = 10025474457600.

The previous prime is 54131074905599. The next prime is 54131074905641. The reversal of 54131074905600 is 650947013145.

54131074905600 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 10 + 74 + 9 + 0 + 560 + 0 = 666.

It is a super-2 number, since 2×54131074905600² (a number of 28 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 20055973051 + ... + 20055975749.

It is an arithmetic number, because the mean of its divisors is an integer number (63448199100).

Almost surely, 2^{54131074905600} is an apocalyptic number.

54131074905600 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 54131074905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137048110056000).

54131074905600 is an abundant number, since it is smaller than the sum of its proper divisors (219965145206400).

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

54131074905600 is a wasteful number, since it uses less digits than its factorization.

54131074905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2794 (or 2763 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54131074905600 in words is "fifty-four trillion, one hundred thirty-one billion, seventy-four million, nine hundred five thousand, six hundred".