54973479855040 has 224 divisors, whose sum is σ = 143092936779264. Its totient is φ = 20026070138880.

The previous prime is 54973479855011. The next prime is 54973479855079. The reversal of 54973479855040 is 4055897437945.

It is a super-3 number, since 3×54973479855040³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3037703272 + ... + 3037721368.

Almost surely, 2^{54973479855040} 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 54973479855040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71546468389632).

54973479855040 is an abundant number, since it is smaller than the sum of its proper divisors (88119456924224).

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

54973479855040 is a wasteful number, since it uses less digits than its factorization.

54973479855040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36175 (or 36165 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 70.

The spelling of 54973479855040 in words is "fifty-four trillion, nine hundred seventy-three billion, four hundred seventy-nine million, eight hundred fifty-five thousand, forty".