54827008704 has 448 divisors, whose sum is σ = 180847349760. Its totient is φ = 16174080000.

The previous prime is 54827008699. The next prime is 54827008711. The reversal of 54827008704 is 40780072845.

54827008704 is a `hidden beast` number, since 548 + 27 + 0 + 0 + 87 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 54827008704.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 91226004 + ... + 91226604.

It is an arithmetic number, because the mean of its divisors is an integer number (403677120).

Almost surely, 2^54827008704 is an apocalyptic number.

54827008704 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54827008704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90423674880).

54827008704 is an abundant number, since it is smaller than the sum of its proper divisors (126020341056).

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

54827008704 is a wasteful number, since it uses less digits than its factorization.

54827008704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 797 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 501760, while the sum is 45.

The spelling of 54827008704 in words is "fifty-four billion, eight hundred twenty-seven million, eight thousand, seven hundred four".