54532976193000 has 512 divisors, whose sum is σ = 200808144576000. Its totient is φ = 13642944307200.

The previous prime is 54532976192977. The next prime is 54532976193053. The reversal of 54532976193000 is 39167923545.

54532976193000 is a `hidden beast` number, since 5 + 4 + 5 + 329 + 7 + 6 + 1 + 9 + 300 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 143477211 + ... + 143856789.

It is an arithmetic number, because the mean of its divisors is an integer number (392203407375).

Almost surely, 2^{54532976193000} is an apocalyptic number.

54532976193000 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 54532976193000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100404072288000).

54532976193000 is an abundant number, since it is smaller than the sum of its proper divisors (146275168383000).

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

54532976193000 is a wasteful number, since it uses less digits than its factorization.

54532976193000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379939 (or 379919 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 54532976193000 in words is "fifty-four trillion, five hundred thirty-two billion, nine hundred seventy-six million, one hundred ninety-three thousand".