51675406200 has 288 divisors, whose sum is σ = 194439407760. Its totient is φ = 12188620800.

The previous prime is 51675406177. The next prime is 51675406229. The reversal of 51675406200 is 260457615.

It is a happy number.

51675406200 is a `hidden beast` number, since 51 + 6 + 7 + 540 + 62 + 0 + 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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 697332 + ... + 767868.

Almost surely, 2^51675406200 is an apocalyptic number.

51675406200 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 51675406200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97219703880).

51675406200 is an abundant number, since it is smaller than the sum of its proper divisors (142764001560).

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

51675406200 is a wasteful number, since it uses less digits than its factorization.

51675406200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70607 (or 70595 counting only the distinct ones).

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

The spelling of 51675406200 in words is "fifty-one billion, six hundred seventy-five million, four hundred six thousand, two hundred".