51369600 has 96 divisors (see below), whose sum is σ = 169230240. Its totient is φ = 13696000.

The previous prime is 51369587. The next prime is 51369601. The reversal of 51369600 is 696315.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51369601) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6925 + ... + 12275.

It is an arithmetic number, because the mean of its divisors is an integer number (1762815).

Almost surely, 2^51369600 is an apocalyptic number.

51369600 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 51369600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84615120).

51369600 is an abundant number, since it is smaller than the sum of its proper divisors (117860640).

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

51369600 is a wasteful number, since it uses less digits than its factorization.

51369600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5378 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 51369600 is about 7167.2588902592. The cubic root of 51369600 is about 371.7366618179.

The spelling of 51369600 in words is "fifty-one million, three hundred sixty-nine thousand, six hundred".