54038468251200 has 672 divisors, whose sum is σ = 183866814627840. Its totient is φ = 13880322662400.

The previous prime is 54038468251139. The next prime is 54038468251277. The reversal of 54038468251200 is 215286483045.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 54038468251200.

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, 50550484266 + ... + 50550485334.

Almost surely, 2^{54038468251200} is an apocalyptic number.

54038468251200 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 54038468251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91933407313920).

54038468251200 is an abundant number, since it is smaller than the sum of its proper divisors (129828346376640).

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

54038468251200 is a wasteful number, since it uses less digits than its factorization.

54038468251200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2395 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 48.

The spelling of 54038468251200 in words is "fifty-four trillion, thirty-eight billion, four hundred sixty-eight million, two hundred fifty-one thousand, two hundred".