54380851200 has 1248 divisors, whose sum is σ = 230357131200. Its totient is φ = 12457082880.

The previous prime is 54380851177. The next prime is 54380851201. The reversal of 54380851200 is 215808345.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1248).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54380851201) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 611020756 + ... + 611020844.

Almost surely, 2^54380851200 is an apocalyptic number.

54380851200 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 54380851200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115178565600).

54380851200 is an abundant number, since it is smaller than the sum of its proper divisors (175976280000).

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

54380851200 is a wasteful number, since it uses less digits than its factorization.

54380851200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 54380851200 in words is "fifty-four billion, three hundred eighty million, eight hundred fifty-one thousand, two hundred".