51150106700 has 288 divisors, whose sum is σ = 141515942400. Its totient is φ = 15586560000.

The previous prime is 51150106697. The next prime is 51150106703. The reversal of 51150106700 is 760105115.

It is an interprime number because it is at equal distance from previous prime (51150106697) and next prime (51150106703).

It is a self number, because there is not a number n which added to its sum of digits gives 51150106700.

It is not an unprimeable number, because it can be changed into a prime (51150106703) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69214931 + ... + 69215669.

It is an arithmetic number, because the mean of its divisors is an integer number (491374800).

Almost surely, 2^51150106700 is an apocalyptic number.

51150106700 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 51150106700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70757971200).

51150106700 is an abundant number, since it is smaller than the sum of its proper divisors (90365835700).

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

51150106700 is a wasteful number, since it uses less digits than its factorization.

51150106700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 961 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 26.

The spelling of 51150106700 in words is "fifty-one billion, one hundred fifty million, one hundred six thousand, seven hundred".