54509009940 has 960 divisors, whose sum is σ = 227543500800. Its totient is φ = 10581580800.

The previous prime is 54509009923. The next prime is 54509009983. The reversal of 54509009940 is 4990090545.

54509009940 is a `hidden beast` number, since 54 + 509 + 0 + 0 + 9 + 94 + 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 319 ways as a sum of consecutive naturals, for example, 258336435 + ... + 258336645.

It is an arithmetic number, because the mean of its divisors is an integer number (237024480).

Almost surely, 2^54509009940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54509009940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113771750400).

54509009940 is an abundant number, since it is smaller than the sum of its proper divisors (173034490860).

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

54509009940 is a wasteful number, since it uses less digits than its factorization.

54509009940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 54509009940 in words is "fifty-four billion, five hundred nine million, nine thousand, nine hundred forty".