54681218373000 has 256 divisors, whose sum is σ = 174970774218240. Its totient is φ = 14209380864000.

The previous prime is 54681218372999. The next prime is 54681218373059. The reversal of 54681218373000 is 37381218645.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 105151629 + ... + 105670371.

It is an arithmetic number, because the mean of its divisors is an integer number (683479586790).

Almost surely, 2^{54681218373000} is an apocalyptic number.

54681218373000 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 54681218373000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87485387109120).

54681218373000 is an abundant number, since it is smaller than the sum of its proper divisors (120289555845240).

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

54681218373000 is a wasteful number, since it uses less digits than its factorization.

54681218373000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519665 (or 519651 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 54681218373000 in words is "fifty-four trillion, six hundred eighty-one billion, two hundred eighteen million, three hundred seventy-three thousand".