51729818400 has 864 divisors, whose sum is σ = 208606648320. Its totient is φ = 12356997120.

The previous prime is 51729818383. The next prime is 51729818431. The reversal of 51729818400 is 481892715.

51729818400 is a `hidden beast` number, since 517 + 2 + 98 + 1 + 8 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×51729818400² (a number of 22 digits) contains 22 as substring.

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

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, 135064609 + ... + 135064991.

It is an arithmetic number, because the mean of its divisors is an integer number (241442880).

Almost surely, 2^51729818400 is an apocalyptic number.

51729818400 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 51729818400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104303324160).

51729818400 is an abundant number, since it is smaller than the sum of its proper divisors (156876829920).

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

51729818400 is a wasteful number, since it uses less digits than its factorization.

51729818400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 51729818400 in words is "fifty-one billion, seven hundred twenty-nine million, eight hundred eighteen thousand, four hundred".