54201246000 has 640 divisors, whose sum is σ = 197750771712. Its totient is φ = 12659200000.

The previous prime is 54201245993. The next prime is 54201246023. The reversal of 54201246000 is 64210245.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 313301914 + ... + 313302086.

Almost surely, 2^54201246000 is an apocalyptic number.

54201246000 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 54201246000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98875385856).

54201246000 is an abundant number, since it is smaller than the sum of its proper divisors (143549525712).

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

54201246000 is a wasteful number, since it uses less digits than its factorization.

54201246000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 54201246000 its reverse (64210245), we get a palindrome (54265456245).

The spelling of 54201246000 in words is "fifty-four billion, two hundred one million, two hundred forty-six thousand".