54387023652000 has 1728 divisors, whose sum is σ = 218709726842880. Its totient is φ = 12780398592000.

The previous prime is 54387023651999. The next prime is 54387023652077. The reversal of 54387023652000 is 25632078345.

54387023652000 is a `hidden beast` number, since 5 + 4 + 3 + 87 + 0 + 2 + 365 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11723865681 + ... + 11723870319.

It is an arithmetic number, because the mean of its divisors is an integer number (126568128960).

Almost surely, 2^{54387023652000} is an apocalyptic number.

54387023652000 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 54387023652000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109354863421440).

54387023652000 is an abundant number, since it is smaller than the sum of its proper divisors (164322703190880).

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

54387023652000 is a wasteful number, since it uses less digits than its factorization.

54387023652000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 4750 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 54387023652000 in words is "fifty-four trillion, three hundred eighty-seven billion, twenty-three million, six hundred fifty-two thousand".