51270278400 has 1080 divisors, whose sum is σ = 213266495904. Its totient is φ = 12093235200.

The previous prime is 51270278399. The next prime is 51270278441. The reversal of 51270278400 is 487207215.

51270278400 is a `hidden beast` number, since 512 + 70 + 2 + 78 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1385683182 + ... + 1385683218.

Almost surely, 2^51270278400 is an apocalyptic number.

51270278400 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 51270278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106633247952).

51270278400 is an abundant number, since it is smaller than the sum of its proper divisors (161996217504).

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

51270278400 is an frugal number, since it uses more digits than its factorization.

51270278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 51270278400 in words is "fifty-one billion, two hundred seventy million, two hundred seventy-eight thousand, four hundred".