51100505610030 has 160 divisors (see below), whose sum is σ = 138355181395200. Its totient is φ = 13532751917568.

The previous prime is 51100505610023. The next prime is 51100505610059. The reversal of 51100505610030 is 3001650500115.

51100505610030 is a `hidden beast` number, since 5 + 1 + 10 + 0 + 5 + 0 + 5 + 610 + 0 + 30 = 666.

It is a super-2 number, since 2×51100505610030² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 51100505609976 and 51100505610003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 67824931 + ... + 68574209.

It is an arithmetic number, because the mean of its divisors is an integer number (864719883720).

Almost surely, 2^{51100505610030} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51100505610030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69177590697600).

51100505610030 is an abundant number, since it is smaller than the sum of its proper divisors (87254675785170).

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

51100505610030 is a wasteful number, since it uses less digits than its factorization.

51100505610030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749880 (or 749871 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 51100505610030 in words is "fifty-one trillion, one hundred billion, five hundred five million, six hundred ten thousand, thirty".