55672416000 has 864 divisors, whose sum is σ = 216231882048. Its totient is φ = 13703577600.

The previous prime is 55672415993. The next prime is 55672416049. The reversal of 55672416000 is 61427655.

It is a happy number.

55672416000 is a `hidden beast` number, since 5 + 5 + 6 + 7 + 2 + 41 + 600 + 0 = 666.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 406367932 + ... + 406368068.

It is an arithmetic number, because the mean of its divisors is an integer number (250268382).

Almost surely, 2^55672416000 is an apocalyptic number.

55672416000 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 55672416000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108115941024).

55672416000 is an abundant number, since it is smaller than the sum of its proper divisors (160559466048).

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

55672416000 is a wasteful number, since it uses less digits than its factorization.

55672416000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 55672416000 in words is "fifty-five billion, six hundred seventy-two million, four hundred sixteen thousand".