51726262348800 has 2112 divisors, whose sum is σ = 209360583398400. Its totient is φ = 12437618688000.

The previous prime is 51726262348771. The next prime is 51726262348819. The reversal of 51726262348800 is 884326262715.

51726262348800 is a `hidden beast` number, since 5 + 1 + 7 + 2 + 6 + 2 + 623 + 4 + 8 + 8 + 0 + 0 = 666.

It is a super-2 number, since 2×51726262348800² (a number of 28 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90907314916 + ... + 90907315484.

Almost surely, 2^{51726262348800} is an apocalyptic number.

51726262348800 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 51726262348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104680291699200).

51726262348800 is an abundant number, since it is smaller than the sum of its proper divisors (157634321049600).

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

51726262348800 is a wasteful number, since it uses less digits than its factorization.

51726262348800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 839 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 51726262348800 in words is "fifty-one trillion, seven hundred twenty-six billion, two hundred sixty-two million, three hundred forty-eight thousand, eight hundred".