51474009600 has 1440 divisors, whose sum is σ = 219788849280. Its totient is φ = 11824496640.

The previous prime is 51474009577. The next prime is 51474009607. The reversal of 51474009600 is 690047415.

51474009600 is a `hidden beast` number, since 5 + 1 + 4 + 7 + 40 + 0 + 9 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51474009607) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 768268767 + ... + 768268833.

Almost surely, 2^51474009600 is an apocalyptic number.

51474009600 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 51474009600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109894424640).

51474009600 is an abundant number, since it is smaller than the sum of its proper divisors (168314839680).

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

51474009600 is a wasteful number, since it uses less digits than its factorization.

51474009600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 51474009600 in words is "fifty-one billion, four hundred seventy-four million, nine thousand, six hundred".