51139200 has 192 divisors, whose sum is σ = 192755520. Its totient is φ = 11673600.

The previous prime is 51139171. The next prime is 51139237. The reversal of 51139200 is 293115.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66820 + ... + 67580.

It is an arithmetic number, because the mean of its divisors is an integer number (1003935).

Almost surely, 2^51139200 is an apocalyptic number.

51139200 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 51139200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96377760).

51139200 is an abundant number, since it is smaller than the sum of its proper divisors (141616320).

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

51139200 is a wasteful number, since it uses less digits than its factorization.

51139200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 795 (or 778 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 51139200 is about 7151.1677368105. The cubic root of 51139200 is about 371.1800648232.

The spelling of 51139200 in words is "fifty-one million, one hundred thirty-nine thousand, two hundred".