54398552832000 has 4320 divisors, whose sum is σ = 237133339082640. Its totient is φ = 12390639206400.

The previous prime is 54398552831989. The next prime is 54398552832031. The reversal of 54398552832000 is 23825589345.

It is a happy number.

54398552832000 is a `hidden beast` number, since 5 + 4 + 3 + 9 + 8 + 552 + 83 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1265082623979 + ... + 1265082624021.

Almost surely, 2^{54398552832000} is an apocalyptic number.

54398552832000 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 54398552832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118566669541320).

54398552832000 is an abundant number, since it is smaller than the sum of its proper divisors (182734786250640).

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

54398552832000 is a wasteful number, since it uses less digits than its factorization.

54398552832000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 10368000, while the sum is 54.

The spelling of 54398552832000 in words is "fifty-four trillion, three hundred ninety-eight billion, five hundred fifty-two million, eight hundred thirty-two thousand".