51116637600 has 360 divisors, whose sum is σ = 213044676768. Its totient is φ = 11683699200.

The previous prime is 51116637557. The next prime is 51116637601. The reversal of 51116637600 is 673661115.

51116637600 is a `hidden beast` number, since 5 + 1 + 1 + 16 + 6 + 37 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×51116637600² (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 not an unprimeable number, because it can be changed into a prime (51116637601) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 397255 + ... + 509945.

Almost surely, 2^51116637600 is an apocalyptic number.

51116637600 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 51116637600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106522338384).

51116637600 is an abundant number, since it is smaller than the sum of its proper divisors (161928039168).

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

51116637600 is a wasteful number, since it uses less digits than its factorization.

51116637600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112730 (or 112708 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 51116637600 in words is "fifty-one billion, one hundred sixteen million, six hundred thirty-seven thousand, six hundred".