51461100132000 has 192 divisors, whose sum is σ = 181554761816064. Its totient is φ = 12667347686400.

The previous prime is 51461100131983. The next prime is 51461100132041. The reversal of 51461100132000 is 23100116415.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 164783424 + ... + 165095423.

It is an arithmetic number, because the mean of its divisors is an integer number (945597717792).

Almost surely, 2^{51461100132000} is an apocalyptic number.

51461100132000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

51461100132000 is an abundant number, since it is smaller than the sum of its proper divisors (130093661684064).

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

51461100132000 is a wasteful number, since it uses less digits than its factorization.

51461100132000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329878888 (or 329878870 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 51461100132000 its reverse (23100116415), we get a palindrome (51484200248415).

The spelling of 51461100132000 in words is "fifty-one trillion, four hundred sixty-one billion, one hundred million, one hundred thirty-two thousand".