54681361759440 has 960 divisors, whose sum is σ = 214413671646720. Its totient is φ = 12850271723520.

The previous prime is 54681361759433. The next prime is 54681361759447. The reversal of 54681361759440 is 4495716318645.

54681361759440 is a `hidden beast` number, since 5 + 4 + 6 + 8 + 1 + 3 + 617 + 5 + 9 + 4 + 4 + 0 = 666.

54681361759440 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54681361759433) and next prime (54681361759447).

It is a super-2 number, since 2×54681361759440² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54681361759447) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3144586266 + ... + 3144603654.

It is an arithmetic number, because the mean of its divisors is an integer number (223347574632).

Almost surely, 2^{54681361759440} 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 54681361759440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107206835823360).

54681361759440 is an abundant number, since it is smaller than the sum of its proper divisors (159732309887280).

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

54681361759440 is a wasteful number, since it uses less digits than its factorization.

54681361759440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17994 (or 17976 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 54681361759440 in words is "fifty-four trillion, six hundred eighty-one billion, three hundred sixty-one million, seven hundred fifty-nine thousand, four hundred forty".