54201012514000 has 320 divisors, whose sum is σ = 146063981306880. Its totient is φ = 19287690240000.

The previous prime is 54201012513979. The next prime is 54201012514001. The reversal of 54201012514000 is 41521010245.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54201012514001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 196256010 + ... + 196531990.

It is an arithmetic number, because the mean of its divisors is an integer number (456449941584).

Almost surely, 2^{54201012514000} is an apocalyptic number.

54201012514000 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 54201012514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73031990653440).

54201012514000 is an abundant number, since it is smaller than the sum of its proper divisors (91862968792880).

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

54201012514000 is a wasteful number, since it uses less digits than its factorization.

54201012514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276207 (or 276191 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

Adding to 54201012514000 its reverse (41521010245), we get a palindrome (54242533524245).

The spelling of 54201012514000 in words is "fifty-four trillion, two hundred one billion, twelve million, five hundred fourteen thousand".