54751010227200 has 2112 divisors, whose sum is σ = 233343065088000. Its totient is φ = 12322390671360.

The previous prime is 54751010227181. The next prime is 54751010227201. The reversal of 54751010227200 is 272201015745.

54751010227200 is a `hidden beast` number, since 5 + 47 + 510 + 10 + 22 + 72 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54751010227201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 130670668591 + ... + 130670669009.

Almost surely, 2^{54751010227200} is an apocalyptic number.

54751010227200 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 54751010227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116671532544000).

54751010227200 is an abundant number, since it is smaller than the sum of its proper divisors (178592054860800).

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

54751010227200 is a wasteful number, since it uses less digits than its factorization.

54751010227200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The spelling of 54751010227200 in words is "fifty-four trillion, seven hundred fifty-one billion, ten million, two hundred twenty-seven thousand, two hundred".