51059678400 has 840 divisors, whose sum is σ = 197563069440. Its totient is φ = 12918528000.

The previous prime is 51059678387. The next prime is 51059678401. The reversal of 51059678400 is 487695015.

51059678400 is a `hidden beast` number, since 5 + 10 + 596 + 7 + 8 + 40 + 0 = 666.

51059678400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51059678400² (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 not an unprimeable number, because it can be changed into a prime (51059678401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 285249511 + ... + 285249689.

Almost surely, 2^51059678400 is an apocalyptic number.

51059678400 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 51059678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98781534720).

51059678400 is an abundant number, since it is smaller than the sum of its proper divisors (146503391040).

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

51059678400 is a wasteful number, since it uses less digits than its factorization.

51059678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 51059678400 in words is "fifty-one billion, fifty-nine million, six hundred seventy-eight thousand, four hundred".