54576057528720 has 480 divisors, whose sum is σ = 225597588163584. Its totient is φ = 11514103603200.

The previous prime is 54576057528697. The next prime is 54576057528781. The reversal of 54576057528720 is 2782575067545.

54576057528720 is a `hidden beast` number, since 5 + 4 + 57 + 6 + 0 + 57 + 528 + 7 + 2 + 0 = 666.

It is a Cunningham number, because it is equal to 7387561²-1.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1344515625 + ... + 1344556215.

Almost surely, 2^{54576057528720} 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 54576057528720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112798794081792).

54576057528720 is an abundant number, since it is smaller than the sum of its proper divisors (171021530634864).

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

54576057528720 is a wasteful number, since it uses less digits than its factorization.

54576057528720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61151 (or 61142 counting only the distinct ones).

The product of its (nonzero) digits is 164640000, while the sum is 63.

The spelling of 54576057528720 in words is "fifty-four trillion, five hundred seventy-six billion, fifty-seven million, five hundred twenty-eight thousand, seven hundred twenty".