51111105515600 has 120 divisors (see below), whose sum is σ = 132382515752760. Its totient is φ = 18851476930560.

The previous prime is 51111105515579. The next prime is 51111105515671. The reversal of 51111105515600 is 651550111115.

It can be written as a sum of positive squares in 12 ways, for example, as 23503142784016 + 27607962731584 = 4848004^2 + 5254328^2 .

It is a super-2 number, since 2×51111105515600² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 459329 + ... + 10120928.

It is an arithmetic number, because the mean of its divisors is an integer number (1103187631273).

Almost surely, 2^{51111105515600} is an apocalyptic number.

51111105515600 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 51111105515600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66191257876380).

51111105515600 is an abundant number, since it is smaller than the sum of its proper divisors (81271410237160).

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

51111105515600 is a wasteful number, since it uses less digits than its factorization.

51111105515600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10581217 (or 10581206 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 32.

Adding to 51111105515600 its reverse (651550111115), we get a palindrome (51762655626715).

The spelling of 51111105515600 in words is "fifty-one trillion, one hundred eleven billion, one hundred five million, five hundred fifteen thousand, six hundred".