54158336083200 has 216 divisors, whose sum is σ = 178777092547648. Its totient is φ = 14438724157440.

The previous prime is 54158336083193. The next prime is 54158336083217. The reversal of 54158336083200 is 238063385145.

It is a happy number.

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 54158336083200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79397997 + ... + 80077203.

Almost surely, 2^{54158336083200} is an apocalyptic number.

54158336083200 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 54158336083200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89388546273824).

54158336083200 is an abundant number, since it is smaller than the sum of its proper divisors (124618756464448).

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

54158336083200 is a wasteful number, since it uses less digits than its factorization.

54158336083200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683389 (or 683370 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 54158336083200 in words is "fifty-four trillion, one hundred fifty-eight billion, three hundred thirty-six million, eighty-three thousand, two hundred".