54151351452000 has 576 divisors, whose sum is σ = 211162860679680. Its totient is φ = 13033143936000.

The previous prime is 54151351451933. The next prime is 54151351452017. The reversal of 54151351452000 is 25415315145.

54151351452000 is a `hidden beast` number, since 5 + 4 + 151 + 3 + 51 + 452 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 54552109 + ... + 55535891.

It is an arithmetic number, because the mean of its divisors is an integer number (366602188680).

Almost surely, 2^{54151351452000} is an apocalyptic number.

54151351452000 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 54151351452000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105581430339840).

54151351452000 is an abundant number, since it is smaller than the sum of its proper divisors (157011509227680).

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

54151351452000 is a wasteful number, since it uses less digits than its factorization.

54151351452000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983964 (or 983943 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 36.

Adding to 54151351452000 its reverse (25415315145), we get a palindrome (54176766767145).

The spelling of 54151351452000 in words is "fifty-four trillion, one hundred fifty-one billion, three hundred fifty-one million, four hundred fifty-two thousand".