54234260640 has 384 divisors, whose sum is σ = 220500887040. Its totient is φ = 12192768000.

The previous prime is 54234260629. The next prime is 54234260669. The reversal of 54234260640 is 4606243245.

54234260640 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 4 + 2 + 6 + 0 + 640 = 666.

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 = 54234260595 and 54234260604.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1829940 + ... + 1859340.

It is an arithmetic number, because the mean of its divisors is an integer number (574221060).

Almost surely, 2^54234260640 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 54234260640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110250443520).

54234260640 is an abundant number, since it is smaller than the sum of its proper divisors (166266626400).

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

54234260640 is a wasteful number, since it uses less digits than its factorization.

54234260640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29493 (or 29479 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 54234260640 in words is "fifty-four billion, two hundred thirty-four million, two hundred sixty thousand, six hundred forty".