54212266800 has 720 divisors, whose sum is σ = 210250193920. Its totient is φ = 12877056000.

The previous prime is 54212266799. The next prime is 54212266811. The reversal of 54212266800 is 866221245.

It is a happy number.

54212266800 is a `hidden beast` number, since 5 + 421 + 226 + 6 + 8 + 0 + 0 = 666.

54212266800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 78454455 + ... + 78455145.

Almost surely, 2^54212266800 is an apocalyptic number.

54212266800 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 54212266800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105125096960).

54212266800 is an abundant number, since it is smaller than the sum of its proper divisors (156037927120).

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

54212266800 is a wasteful number, since it uses less digits than its factorization.

54212266800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 802 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 54212266800 in words is "fifty-four billion, two hundred twelve million, two hundred sixty-six thousand, eight hundred".