54774019584 has 960 divisors, whose sum is σ = 193037644800. Its totient is φ = 15383789568.

The previous prime is 54774019583. The next prime is 54774019607. The reversal of 54774019584 is 48591047745.

54774019584 is a `hidden beast` number, since 5 + 4 + 7 + 7 + 40 + 19 + 584 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 54774019584.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54774019583) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1165404649 + ... + 1165404695.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 2^54774019584 is an apocalyptic number.

54774019584 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 54774019584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96518822400).

54774019584 is an abundant number, since it is smaller than the sum of its proper divisors (138263625216).

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

54774019584 is a wasteful number, since it uses less digits than its factorization.

54774019584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 54774019584 in words is "fifty-four billion, seven hundred seventy-four million, nineteen thousand, five hundred eighty-four".