51110963955840 has 768 divisors, whose sum is σ = 180180154771200. Its totient is φ = 12306013224960.

The previous prime is 51110963955833. The next prime is 51110963955853. The reversal of 51110963955840 is 4855936901115.

It is a happy number.

It is a super-2 number, since 2×51110963955840² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2526358525 + ... + 2526378755.

It is an arithmetic number, because the mean of its divisors is an integer number (234609576525).

Almost surely, 2^{51110963955840} 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 51110963955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90090077385600).

51110963955840 is an abundant number, since it is smaller than the sum of its proper divisors (129069190815360).

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

51110963955840 is a wasteful number, since it uses less digits than its factorization.

51110963955840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20473 (or 20444 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 57.

The spelling of 51110963955840 in words is "fifty-one trillion, one hundred ten billion, nine hundred sixty-three million, nine hundred fifty-five thousand, eight hundred forty".