54984233687040 has 2880 divisors, whose sum is σ = 244482306868800. Its totient is φ = 11568227549184.

The previous prime is 54984233687023. The next prime is 54984233687051. The reversal of 54984233687040 is 4078633248945.

54984233687040 is a `hidden beast` number, since 5 + 4 + 98 + 423 + 3 + 6 + 87 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-3 number, since 3×54984233687040³ (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 77551810206 + ... + 77551810914.

It is an arithmetic number, because the mean of its divisors is an integer number (84889689885).

Almost surely, 2^{54984233687040} 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 54984233687040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122241153434400).

54984233687040 is an abundant number, since it is smaller than the sum of its proper divisors (189498073181760).

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

54984233687040 is a wasteful number, since it uses less digits than its factorization.

54984233687040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 54984233687040 in words is "fifty-four trillion, nine hundred eighty-four billion, two hundred thirty-three million, six hundred eighty-seven thousand, forty".