51161115116100 has 72 divisors (see below), whose sum is σ = 161483083358688. Its totient is φ = 12402694572800.

The previous prime is 51161115116057. The next prime is 51161115116101. The reversal of 51161115116100 is 161151116115.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51161115116101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7751680809 + ... + 7751687408.

It is an arithmetic number, because the mean of its divisors is an integer number (2242820602204).

Almost surely, 2^{51161115116100} is an apocalyptic number.

51161115116100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51161115116100 is an abundant number, since it is smaller than the sum of its proper divisors (110321968242588).

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

51161115116100 is a wasteful number, since it uses less digits than its factorization.

51161115116100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15503368245 (or 15503368238 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 30.

It can be divided in two parts, 51161115 and 116100, that added together give a palindrome (51277215).

The spelling of 51161115116100 in words is "fifty-one trillion, one hundred sixty-one billion, one hundred fifteen million, one hundred sixteen thousand, one hundred".