51426950400 has 1296 divisors, whose sum is σ = 227350032000. Its totient is φ = 11054776320.

The previous prime is 51426950389. The next prime is 51426950411. The reversal of 51426950400 is 405962415.

51426950400 is a `hidden beast` number, since 5 + 142 + 6 + 9 + 504 + 0 + 0 = 666.

51426950400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51426950389) and next prime (51426950411).

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 143 ways as a sum of consecutive naturals, for example, 375379132 + ... + 375379268.

Almost surely, 2^51426950400 is an apocalyptic number.

51426950400 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 51426950400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113675016000).

51426950400 is an abundant number, since it is smaller than the sum of its proper divisors (175923081600).

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

51426950400 is a wasteful number, since it uses less digits than its factorization.

51426950400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 51426950400 in words is "fifty-one billion, four hundred twenty-six million, nine hundred fifty thousand, four hundred".