54064401000 has 128 divisors (see below), whose sum is σ = 168794496000. Its totient is φ = 14407468800.

The previous prime is 54064400959. The next prime is 54064401049. The reversal of 54064401000 is 10446045.

54064401000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5193801 + ... + 5204199.

It is an arithmetic number, because the mean of its divisors is an integer number (1318707000).

Almost surely, 2^54064401000 is an apocalyptic number.

54064401000 is a gapful number since it is divisible by the number (50) 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 54064401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84397248000).

54064401000 is an abundant number, since it is smaller than the sum of its proper divisors (114730095000).

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

54064401000 is a wasteful number, since it uses less digits than its factorization.

54064401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12156 (or 12142 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 54064401000 its reverse (10446045), we get a palindrome (54074847045).

The spelling of 54064401000 in words is "fifty-four billion, sixty-four million, four hundred one thousand".