51115771112000 has 224 divisors, whose sum is σ = 146415289063680. Its totient is φ = 17314256179200.

The previous prime is 51115771111997. The next prime is 51115771112023. The reversal of 51115771112000 is 21117751115.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×51115771112000² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 850685 + ... + 10146684.

It is an arithmetic number, because the mean of its divisors is an integer number (653639683320).

Almost surely, 2^{51115771112000} is an apocalyptic number.

51115771112000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51115771112000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73207644531840).

51115771112000 is an abundant number, since it is smaller than the sum of its proper divisors (95299517951680).

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

51115771112000 is a wasteful number, since it uses less digits than its factorization.

51115771112000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10997486 (or 10997466 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 32.

Adding to 51115771112000 its reverse (21117751115), we get a palindrome (51136888863115).

The spelling of 51115771112000 in words is "fifty-one trillion, one hundred fifteen billion, seven hundred seventy-one million, one hundred twelve thousand".