54659791146240 has 3456 divisors, whose sum is σ = 244245310848000. Its totient is φ = 11564596592640.

The previous prime is 54659791146239. The next prime is 54659791146251. The reversal of 54659791146240 is 4264119795645.

54659791146240 is a `hidden beast` number, since 5 + 4 + 6 + 59 + 79 + 11 + 462 + 40 = 666.

54659791146240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a super-2 number, since 2×54659791146240² (a number of 28 digits) contains 22 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 226804112520 + ... + 226804112760.

It is an arithmetic number, because the mean of its divisors is an integer number (70672833000).

Almost surely, 2^{54659791146240} 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 54659791146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122122655424000).

54659791146240 is an abundant number, since it is smaller than the sum of its proper divisors (189585519701760).

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

54659791146240 is a wasteful number, since it uses less digits than its factorization.

54659791146240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 54659791146240 in words is "fifty-four trillion, six hundred fifty-nine billion, seven hundred ninety-one million, one hundred forty-six thousand, two hundred forty".