51993446400 has 1008 divisors, whose sum is σ = 222001416000. Its totient is φ = 11824496640.

The previous prime is 51993446387. The next prime is 51993446413. The reversal of 51993446400 is 464439915.

51993446400 is a `hidden beast` number, since 519 + 93 + 4 + 4 + 6 + 40 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51993446387) and next prime (51993446413).

It is a tau number, because it is divible by the number of its divisors (1008).

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 83 ways as a sum of consecutive naturals, for example, 261273501 + ... + 261273699.

It is an arithmetic number, because the mean of its divisors is an integer number (220239500).

Almost surely, 2^51993446400 is an apocalyptic number.

51993446400 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 51993446400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111000708000).

51993446400 is an abundant number, since it is smaller than the sum of its proper divisors (170007969600).

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

51993446400 is an equidigital number, since it uses as much as digits as its factorization.

51993446400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 51993446400 in words is "fifty-one billion, nine hundred ninety-three million, four hundred forty-six thousand, four hundred".