54274271040 has 336 divisors, whose sum is σ = 206115489216. Its totient is φ = 12998246400.

The previous prime is 54274271033. The next prime is 54274271057. The reversal of 54274271040 is 4017247245.

54274271040 is a `hidden beast` number, since 542 + 7 + 4 + 2 + 7 + 104 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 54274270986 and 54274271004.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2619120 + ... + 2639760.

It is an arithmetic number, because the mean of its divisors is an integer number (613438956).

Almost surely, 2^54274271040 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 54274271040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103057744608).

54274271040 is an abundant number, since it is smaller than the sum of its proper divisors (151841218176).

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

54274271040 is a wasteful number, since it uses less digits than its factorization.

54274271040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20758 (or 20745 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 36.

The spelling of 54274271040 in words is "fifty-four billion, two hundred seventy-four million, two hundred seventy-one thousand, forty".