51478736400 has 1440 divisors, whose sum is σ = 234799638528. Its totient is φ = 10152345600.

The previous prime is 51478736399. The next prime is 51478736411. The reversal of 51478736400 is 463787415.

51478736400 is a `hidden beast` number, since 51 + 478 + 73 + 64 + 0 + 0 = 666.

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 287 ways as a sum of consecutive naturals, for example, 375757132 + ... + 375757268.

Almost surely, 2^51478736400 is an apocalyptic number.

51478736400 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 51478736400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117399819264).

51478736400 is an abundant number, since it is smaller than the sum of its proper divisors (183320902128).

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

51478736400 is a wasteful number, since it uses less digits than its factorization.

51478736400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 51478736400 in words is "fifty-one billion, four hundred seventy-eight million, seven hundred thirty-six thousand, four hundred".