54278822400 has 960 divisors, whose sum is σ = 211016779776. Its totient is φ = 12165120000.

The previous prime is 54278822369. The next prime is 54278822407. The reversal of 54278822400 is 422887245.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×54278822400² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54278822407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 359462325 + ... + 359462475.

Almost surely, 2^54278822400 is an apocalyptic number.

54278822400 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 54278822400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105508389888).

54278822400 is an abundant number, since it is smaller than the sum of its proper divisors (156737957376).

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

54278822400 is a wasteful number, since it uses less digits than its factorization.

54278822400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 286720, while the sum is 42.

It can be divided in two parts, 54278 and 822400, that added together give a palindrome (876678).

The spelling of 54278822400 in words is "fifty-four billion, two hundred seventy-eight million, eight hundred twenty-two thousand, four hundred".