51463526400 has 1296 divisors, whose sum is σ = 221243808240. Its totient is φ = 11354112000.

The previous prime is 51463526399. The next prime is 51463526417. The reversal of 51463526400 is 462536415.

51463526400 is a `hidden beast` number, since 5 + 1 + 4 + 6 + 3 + 5 + 2 + 640 + 0 = 666.

51463526400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 107 ways as a sum of consecutive naturals, for example, 724838365 + ... + 724838435.

It is an arithmetic number, because the mean of its divisors is an integer number (170712815).

Almost surely, 2^51463526400 is an apocalyptic number.

51463526400 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 51463526400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110621904120).

51463526400 is an abundant number, since it is smaller than the sum of its proper divisors (169780281840).

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

51463526400 is a wasteful number, since it uses less digits than its factorization.

51463526400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 51463526400 in words is "fifty-one billion, four hundred sixty-three million, five hundred twenty-six thousand, four hundred".