54117963900 has 1296 divisors, whose sum is σ = 236665741312. Its totient is φ = 10059033600.

The previous prime is 54117963881. The next prime is 54117963917. The reversal of 54117963900 is 936971145.

54117963900 is a `hidden beast` number, since 5 + 4 + 1 + 1 + 7 + 9 + 639 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 426125637 + ... + 426125763.

Almost surely, 2^54117963900 is an apocalyptic number.

54117963900 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 54117963900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118332870656).

54117963900 is an abundant number, since it is smaller than the sum of its proper divisors (182547777412).

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

54117963900 is a wasteful number, since it uses less digits than its factorization.

54117963900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 54117963900 in words is "fifty-four billion, one hundred seventeen million, nine hundred sixty-three thousand, nine hundred".