54875354627520 has 1568 divisors, whose sum is σ = 235856990515200. Its totient is φ = 12137778616320.

The previous prime is 54875354627501. The next prime is 54875354627537. The reversal of 54875354627520 is 2572645357845.

54875354627520 is a `hidden beast` number, since 5 + 4 + 8 + 7 + 5 + 354 + 6 + 275 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1568).

It is a super-2 number, since 2×54875354627520² (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 polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2480455179 + ... + 2480477301.

Almost surely, 2^{54875354627520} 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 54875354627520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117928495257600).

54875354627520 is an abundant number, since it is smaller than the sum of its proper divisors (180981635887680).

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

54875354627520 is an equidigital number, since it uses as much as digits as its factorization.

54875354627520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22210 (or 22171 counting only the distinct ones).

The product of its (nonzero) digits is 282240000, while the sum is 63.

The spelling of 54875354627520 in words is "fifty-four trillion, eight hundred seventy-five billion, three hundred fifty-four million, six hundred twenty-seven thousand, five hundred twenty".