51257863800 has 768 divisors, whose sum is σ = 212611392000. Its totient is φ = 11183616000.

The previous prime is 51257863763. The next prime is 51257863831. The reversal of 51257863800 is 836875215.

51257863800 is a `hidden beast` number, since 5 + 1 + 2 + 5 + 7 + 8 + 638 + 0 + 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31659391 + ... + 31661009.

It is an arithmetic number, because the mean of its divisors is an integer number (276837750).

Almost surely, 2^51257863800 is an apocalyptic number.

51257863800 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 51257863800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106305696000).

51257863800 is an abundant number, since it is smaller than the sum of its proper divisors (161353528200).

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

51257863800 is a wasteful number, since it uses less digits than its factorization.

51257863800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1709 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 51257863800 in words is "fifty-one billion, two hundred fifty-seven million, eight hundred sixty-three thousand, eight hundred".