51536305002600 has 576 divisors, whose sum is σ = 198872182080000. Its totient is φ = 11828673907200.

The previous prime is 51536305002593. The next prime is 51536305002617. The reversal of 51536305002600 is 620050363515.

51536305002600 is a `hidden beast` number, since 5 + 15 + 3 + 6 + 30 + 5 + 0 + 0 + 2 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 612035301 + ... + 612119499.

It is an arithmetic number, because the mean of its divisors is an integer number (345264205000).

Almost surely, 2^{51536305002600} is an apocalyptic number.

51536305002600 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 51536305002600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99436091040000).

51536305002600 is an abundant number, since it is smaller than the sum of its proper divisors (147335877077400).

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

51536305002600 is a wasteful number, since it uses less digits than its factorization.

51536305002600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85878 (or 85866 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The spelling of 51536305002600 in words is "fifty-one trillion, five hundred thirty-six billion, three hundred five million, two thousand, six hundred".