54386457600000 has 672 divisors, whose sum is σ = 182085390789120. Its totient is φ = 14437498880000.

The previous prime is 54386457599939. The next prime is 54386457600001. The reversal of 54386457600000 is 675468345.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54386457600001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18355198519 + ... + 18355201481.

It is an arithmetic number, because the mean of its divisors is an integer number (270960402960).

Almost surely, 2^{54386457600000} is an apocalyptic number.

54386457600000 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 54386457600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91042695394560).

54386457600000 is an abundant number, since it is smaller than the sum of its proper divisors (127698933189120).

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

54386457600000 is an frugal number, since it uses more digits than its factorization.

54386457600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3256 (or 3212 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 54386457600000 in words is "fifty-four trillion, three hundred eighty-six billion, four hundred fifty-seven million, six hundred thousand".