51133689198 has 96 divisors (see below), whose sum is σ = 117977333760. Its totient is φ = 15978876480.

The previous prime is 51133689107. The next prime is 51133689203. The reversal of 51133689198 is 89198633115.

51133689198 is a `hidden beast` number, since 511 + 3 + 36 + 8 + 9 + 1 + 98 = 666.

It is a super-2 number, since 2×51133689198² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3107613 + ... + 3124023.

It is an arithmetic number, because the mean of its divisors is an integer number (1228930560).

Almost surely, 2^51133689198 is an apocalyptic number.

51133689198 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 51133689198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58988666880).

51133689198 is an abundant number, since it is smaller than the sum of its proper divisors (66843644562).

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

51133689198 is a wasteful number, since it uses less digits than its factorization.

51133689198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16622 (or 16619 counting only the distinct ones).

The product of its digits is 1399680, while the sum is 54.

The spelling of 51133689198 in words is "fifty-one billion, one hundred thirty-three million, six hundred eighty-nine thousand, one hundred ninety-eight".