51216045465600 has 1764 divisors, whose sum is σ = 202455744111324. Its totient is φ = 12843394007040.

The previous prime is 51216045465587. The next prime is 51216045465601. The reversal of 51216045465600 is 656454061215.

51216045465600 is a `hidden beast` number, since 5 + 1 + 2 + 1 + 6 + 0 + 45 + 46 + 560 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51216045465601) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 43147468207 + ... + 43147469393.

Almost surely, 2^{51216045465600} is an apocalyptic number.

51216045465600 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 51216045465600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101227872055662).

51216045465600 is an abundant number, since it is smaller than the sum of its proper divisors (151239698645724).

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

51216045465600 is an equidigital number, since it uses as much as digits as its factorization.

51216045465600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1275 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 51216045465600 in words is "fifty-one trillion, two hundred sixteen billion, forty-five million, four hundred sixty-five thousand, six hundred".