51106261940 has 96 divisors (see below), whose sum is σ = 115025339520. Its totient is φ = 19016902656.

The previous prime is 51106261933. The next prime is 51106261949. The reversal of 51106261940 is 4916260115.

It is a super-2 number, since 2×51106261940² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 51106261940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51106261949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6459467 + ... + 6467373.

It is an arithmetic number, because the mean of its divisors is an integer number (1198180620).

Almost surely, 2^51106261940 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 51106261940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57512669760).

51106261940 is an abundant number, since it is smaller than the sum of its proper divisors (63919077580).

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

51106261940 is a wasteful number, since it uses less digits than its factorization.

51106261940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8241 (or 8239 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The spelling of 51106261940 in words is "fifty-one billion, one hundred six million, two hundred sixty-one thousand, nine hundred forty".