54769581982080 has 384 divisors, whose sum is σ = 217846186721280. Its totient is φ = 12420187508736.

The previous prime is 54769581982079. The next prime is 54769581982097. The reversal of 54769581982080 is 8028918596745.

54769581982080 is a `hidden beast` number, since 5 + 476 + 9 + 58 + 1 + 9 + 8 + 20 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×54769581982080² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 227284 + ... + 10468563.

It is an arithmetic number, because the mean of its divisors is an integer number (567307777920).

Almost surely, 2^{54769581982080} 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 54769581982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108923093360640).

54769581982080 is an abundant number, since it is smaller than the sum of its proper divisors (163076604739200).

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

54769581982080 is a wasteful number, since it uses less digits than its factorization.

54769581982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10696006 (or 10695991 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 54769581982080 in words is "fifty-four trillion, seven hundred sixty-nine billion, five hundred eighty-one million, nine hundred eighty-two thousand, eighty".