54858234631200 has 3456 divisors, whose sum is σ = 252395235671040. Its totient is φ = 10167142809600.

The previous prime is 54858234631199. The next prime is 54858234631201. The reversal of 54858234631200 is 213643285845.

It is an interprime number because it is at equal distance from previous prime (54858234631199) and next prime (54858234631201).

It is not an unprimeable number, because it can be changed into a prime (54858234631201) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 77374096446 + ... + 77374097154.

It is an arithmetic number, because the mean of its divisors is an integer number (73031028840).

Almost surely, 2^{54858234631200} is an apocalyptic number.

54858234631200 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 54858234631200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126197617835520).

54858234631200 is an abundant number, since it is smaller than the sum of its proper divisors (197537001039840).

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

54858234631200 is a wasteful number, since it uses less digits than its factorization.

54858234631200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 920 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 51.

The spelling of 54858234631200 in words is "fifty-four trillion, eight hundred fifty-eight billion, two hundred thirty-four million, six hundred thirty-one thousand, two hundred".