51406356600 has 144 divisors (see below), whose sum is σ = 173508426000. Its totient is φ = 13639380480.

The previous prime is 51406356581. The next prime is 51406356607. The reversal of 51406356600 is 665360415.

51406356600 is a `hidden beast` number, since 5 + 1 + 40 + 6 + 3 + 5 + 6 + 600 = 666.

It is a super-2 number, since 2×51406356600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51406356607) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 286444 + ... + 429956.

It is an arithmetic number, because the mean of its divisors is an integer number (1204919625).

Almost surely, 2^51406356600 is an apocalyptic number.

51406356600 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 51406356600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86754213000).

51406356600 is an abundant number, since it is smaller than the sum of its proper divisors (122102069400).

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

51406356600 is a wasteful number, since it uses less digits than its factorization.

51406356600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143734 (or 143722 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 51406356600 in words is "fifty-one billion, four hundred six million, three hundred fifty-six thousand, six hundred".