54827826020352 has 1760 divisors, whose sum is σ = 213984998726400. Its totient is φ = 13621820129280.

The previous prime is 54827826020339. The next prime is 54827826020371. The reversal of 54827826020352 is 25302062872845.

54827826020352 is a `hidden beast` number, since 5 + 4 + 8 + 2 + 7 + 8 + 260 + 20 + 352 = 666.

It is a super-2 number, since 2×54827826020352² (a number of 28 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 87 ways as a sum of consecutive naturals, for example, 2383818522613 + ... + 2383818522635.

It is an arithmetic number, because the mean of its divisors is an integer number (121582385640).

Almost surely, 2^{54827826020352} 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 54827826020352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106992499363200).

54827826020352 is an abundant number, since it is smaller than the sum of its proper divisors (159157172706048).

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

54827826020352 is an frugal number, since it uses more digits than its factorization.

54827826020352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 54.

The spelling of 54827826020352 in words is "fifty-four trillion, eight hundred twenty-seven billion, eight hundred twenty-six million, twenty thousand, three hundred fifty-two".