55279411200 has 672 divisors, whose sum is σ = 218994837600. Its totient is φ = 13589544960.

The previous prime is 55279411199. The next prime is 55279411219. The reversal of 55279411200 is 211497255.

55279411200 is a `hidden beast` number, since 5 + 527 + 9 + 4 + 1 + 120 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71884416 + ... + 71885184.

It is an arithmetic number, because the mean of its divisors is an integer number (325885175).

Almost surely, 2^55279411200 is an apocalyptic number.

55279411200 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 55279411200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109497418800).

55279411200 is an abundant number, since it is smaller than the sum of its proper divisors (163715426400).

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

55279411200 is a wasteful number, since it uses less digits than its factorization.

55279411200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 55279411200 in words is "fifty-five billion, two hundred seventy-nine million, four hundred eleven thousand, two hundred".