54763529760 has 384 divisors, whose sum is σ = 204276038400. Its totient is φ = 13833317376.

The previous prime is 54763529749. The next prime is 54763529761. The reversal of 54763529760 is 6792536745.

54763529760 is a `hidden beast` number, since 5 + 47 + 6 + 3 + 529 + 76 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 54763529697 and 54763529706.

It is not an unprimeable number, because it can be changed into a prime (54763529761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6644362 + ... + 6652598.

It is an arithmetic number, because the mean of its divisors is an integer number (531968850).

Almost surely, 2^54763529760 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 54763529760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102138019200).

54763529760 is an abundant number, since it is smaller than the sum of its proper divisors (149512508640).

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

54763529760 is an equidigital number, since it uses as much as digits as its factorization.

54763529760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292 (or 8266 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 54763529760 in words is "fifty-four billion, seven hundred sixty-three million, five hundred twenty-nine thousand, seven hundred sixty".