54404006400 has 360 divisors, whose sum is σ = 201919461744. Its totient is φ = 14506905600.

The previous prime is 54404006399. The next prime is 54404006417. The reversal of 54404006400 is 460040445.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3101655 + ... + 3119145.

Almost surely, 2^54404006400 is an apocalyptic number.

54404006400 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 54404006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100959730872).

54404006400 is an abundant number, since it is smaller than the sum of its proper divisors (147515455344).

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

54404006400 is an equidigital number, since it uses as much as digits as its factorization.

54404006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17534 (or 17501 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 54404006400 its reverse (460040445), we get a palindrome (54864046845).

The spelling of 54404006400 in words is "fifty-four billion, four hundred four million, six thousand, four hundred".