54977121239040 has 5760 divisors, whose sum is σ = 277000830812160. Its totient is φ = 10090237132800.

The previous prime is 54977121239017. The next prime is 54977121239041. The reversal of 54977121239040 is 4093212177945.

54977121239040 is a `hidden beast` number, since 5 + 4 + 97 + 7 + 121 + 2 + 390 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is not an unprimeable number, because it can be changed into a prime (54977121239041) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 617720463316 + ... + 617720463404.

It is an arithmetic number, because the mean of its divisors is an integer number (48090422016).

Almost surely, 2^{54977121239040} 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 54977121239040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138500415406080).

54977121239040 is an abundant number, since it is smaller than the sum of its proper divisors (222023709573120).

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

54977121239040 is a wasteful number, since it uses less digits than its factorization.

54977121239040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 54977121239040 in words is "fifty-four trillion, nine hundred seventy-seven billion, one hundred twenty-one million, two hundred thirty-nine thousand, forty".