54850388785920 has 2304 divisors, whose sum is σ = 258994487808000. Its totient is φ = 10666985914368.

The previous prime is 54850388785903. The next prime is 54850388785943. The reversal of 54850388785920 is 2958788305845.

It is a happy number.

54850388785920 is a `hidden beast` number, since 5 + 4 + 85 + 0 + 388 + 7 + 85 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2210894476 + ... + 2210919284.

It is an arithmetic number, because the mean of its divisors is an integer number (112410802000).

Almost surely, 2^{54850388785920} 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 54850388785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129497243904000).

54850388785920 is an abundant number, since it is smaller than the sum of its proper divisors (204144099022080).

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

54850388785920 is a wasteful number, since it uses less digits than its factorization.

54850388785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24915 (or 24895 counting only the distinct ones).

The product of its (nonzero) digits is 774144000, while the sum is 72.

The spelling of 54850388785920 in words is "fifty-four trillion, eight hundred fifty billion, three hundred eighty-eight million, seven hundred eighty-five thousand, nine hundred twenty".