51193920180 has 192 divisors, whose sum is σ = 159780354048. Its totient is φ = 12162078720.

The previous prime is 51193920179. The next prime is 51193920203. The reversal of 51193920180 is 8102939115.

It is a super-2 number, since 2×51193920180² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9596794 + ... + 9602126.

It is an arithmetic number, because the mean of its divisors is an integer number (832189344).

Almost surely, 2^51193920180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51193920180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79890177024).

51193920180 is an abundant number, since it is smaller than the sum of its proper divisors (108586433868).

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

51193920180 is a wasteful number, since it uses less digits than its factorization.

With its successor (51193920181) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (5784).

51193920180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5786 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 39.

The spelling of 51193920180 in words is "fifty-one billion, one hundred ninety-three million, nine hundred twenty thousand, one hundred eighty".