54353691141120 has 1056 divisors, whose sum is σ = 226718566963200. Its totient is φ = 12022827909120.

The previous prime is 54353691141107. The next prime is 54353691141121. The reversal of 54353691141120 is 2114119635345.

54353691141120 is a `hidden beast` number, since 5 + 4 + 3 + 536 + 91 + 1 + 4 + 1 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (54353691141121) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 489913174 + ... + 490024106.

Almost surely, 2^{54353691141120} 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 54353691141120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113359283481600).

54353691141120 is an abundant number, since it is smaller than the sum of its proper divisors (172364875822080).

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

54353691141120 is a wasteful number, since it uses less digits than its factorization.

54353691141120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111016 (or 110981 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 54353691141120 in words is "fifty-four trillion, three hundred fifty-three billion, six hundred ninety-one million, one hundred forty-one thousand, one hundred twenty".