54386772279840 has 1728 divisors, whose sum is σ = 260497055669760. Its totient is φ = 10149817466880.

The previous prime is 54386772279817. The next prime is 54386772279869. The reversal of 54386772279840 is 4897227768345.

54386772279840 is a `hidden beast` number, since 5 + 438 + 67 + 7 + 2 + 2 + 7 + 98 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 373260121 + ... + 373405799.

It is an arithmetic number, because the mean of its divisors is an integer number (150750610920).

Almost surely, 2^{54386772279840} 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 54386772279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130248527834880).

54386772279840 is an abundant number, since it is smaller than the sum of its proper divisors (206110283389920).

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

54386772279840 is a wasteful number, since it uses less digits than its factorization.

54386772279840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145775 (or 145757 counting only the distinct ones).

The product of its (nonzero) digits is 1137991680, while the sum is 72.

The spelling of 54386772279840 in words is "fifty-four trillion, three hundred eighty-six billion, seven hundred seventy-two million, two hundred seventy-nine thousand, eight hundred forty".