51506903700 has 360 divisors, whose sum is σ = 194721912000. Its totient is φ = 11772371520.

The previous prime is 51506903689. The next prime is 51506903729. The reversal of 51506903700 is 730960515.

It is a happy number.

It is a super-2 number, since 2×51506903700² (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 an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2769031 + ... + 2787569.

It is an arithmetic number, because the mean of its divisors is an integer number (540894200).

Almost surely, 2^51506903700 is an apocalyptic number.

51506903700 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 51506903700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97360956000).

51506903700 is an abundant number, since it is smaller than the sum of its proper divisors (143215008300).

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

51506903700 is a wasteful number, since it uses less digits than its factorization.

51506903700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18586 (or 18556 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The spelling of 51506903700 in words is "fifty-one billion, five hundred six million, nine hundred three thousand, seven hundred".