51388473600 has 648 divisors, whose sum is σ = 192634670592. Its totient is φ = 13553049600.

The previous prime is 51388473593. The next prime is 51388473623. The reversal of 51388473600 is 637488315.

51388473600 is a `hidden beast` number, since 5 + 1 + 38 + 8 + 4 + 7 + 3 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (648).

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 71 ways as a sum of consecutive naturals, for example, 269049505 + ... + 269049695.

Almost surely, 2^51388473600 is an apocalyptic number.

51388473600 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 51388473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96317335296).

51388473600 is an abundant number, since it is smaller than the sum of its proper divisors (141246196992).

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

51388473600 is a wasteful number, since it uses less digits than its factorization.

51388473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 405 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 51388473600 in words is "fifty-one billion, three hundred eighty-eight million, four hundred seventy-three thousand, six hundred".