54838826213760 has 96 divisors (see below), whose sum is σ = 189365321789280. Its totient is φ = 14623686988800.

The previous prime is 54838826213753. The next prime is 54838826213767. The reversal of 54838826213760 is 6731262883845.

54838826213760 is a `hidden beast` number, since 5 + 4 + 8 + 388 + 2 + 62 + 137 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (54838826213753) and next prime (54838826213767).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54838826213767) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4760309016 + ... + 4760320535.

It is an arithmetic number, because the mean of its divisors is an integer number (1972555435305).

Almost surely, 2^{54838826213760} is an apocalyptic number.

It is an amenable number.

54838826213760 is an abundant number, since it is smaller than the sum of its proper divisors (134526495575520).

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

54838826213760 is a wasteful number, since it uses less digits than its factorization.

54838826213760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9520629576 (or 9520629561 counting only the distinct ones).

The product of its (nonzero) digits is 92897280, while the sum is 63.

The spelling of 54838826213760 in words is "fifty-four trillion, eight hundred thirty-eight billion, eight hundred twenty-six million, two hundred thirteen thousand, seven hundred sixty".